I've been designing an acoustically transparent screen for my "forever in progress" HT room. I thought I'd post some of my measurements of the various screen materials.
Note, that I'm not going to comment on the visual performance of the screen materials. I'd need a full size sample of each to give them a proper subjective evaluation. Also.. I'm not a video projector guru. There are other people more qualified to measure and talk about the video performance. I'll give my simple subjective opinion of my screen when the project is done and some antidotal comments on the screen materials as I talk about each.
The measurement set-up consists of Praxis with my calibrated mic. It's good for about -+0.5db and is more than accurate enough for speaker design and these measurements. The mic is situated on-axis 1.5M from my reference speaker. I disconnected the woofer network since it wasn't meaningful data for the screens. All of the screens become completely transparent to sub 500Hz output. Each screen sample was cut to identical size and hung in front of the reference speaker in the same manner with the same standoff of about 2 inches.
Here is the reference speaker. It's our LCR center channel, which I use behind the screen. Normally it has massive amounts of output to 25hz in-room but we have the woofers disconnected for this test. You can see from roughly 2K-20K (the area we are going to focus on) it is -+1.5db so it's flat within the range of accuracy of our mic, production tolerances between drivers, crossover components and cabinet variability. It was designed with a little bit of high frequency lift in anticipation of using it behind the screen.

As another frame of reference, I took a measurement of standard grill cloth. You will notice about 0.5db attenuation at 2K and 1db at 15K, which isn't much. You will also notice it doesn't cause any other problems with the FR of the speaker. This is a bare piece of cloth hanging in front of the drivers. Virtually all speaker grills have a frame, which will probably cause more diffraction problems than the grill fabric alone. That is a discussion beyond the scope of this write-up and the grill cloth is given purely as a reference.

Here is our first screen sample. This is a Da-lite High Contrast Cinema Perf. It is a rubbery vinyl material with the screen coating on one side and the other is black. It reminds me of a thin mouse pad. The screen is made acoustically transparent by perforations. The base material is thick and Da-lite says it has a gain of 1.1with a 45 degree viewing cone.
It should be noted that my sample of Da-lite was physically smaller than the other samples. It still covered the two drivers I was measuring but this was the one sample that I had that wasn't identical in size with the others.
Notice we are about -+5db, which is kind of ugly. There is also a downward trend of rolling off the top-end. I'd say we are down about 7-8db by the time we reach 20K. I'd not call this inspiring performance from an acoustical standpoint.

Here is the Vutec sample sent to me from Jason at AVS. The Vutec is woven sample that looks like a standard white unity gain screen. I'd guess it's a gain of about 1.0 and the perforations are small enough not to be visible from anywhere past 5-6 feet. It is very close in color to the Screen Research and Danzian fabric.
I measured it with and without the Screen Research black backing material. Screen Research sells their product with a black backing material that is designed to cut-down on reflected light, which penetrates the screen. With the more transparent screens (Danzian) it's helpful to have a black material behind the screen to prevent light reflection and insure speakers, braces and other objects are not visible during movies.
Here is the measurement without the Screen Research backer.

Here is the same Vutec material with the SR backing material.

Some comments are in order. The Vutec alone is an improvement over the Da-lite. I'd say we are now -+3.5db and we don't see the same degree of high frequency roll-off. There is maybe 2-3db of total roll-off by the time we reach 20K.
From these measurements the Vutec with the SR backing is actually smoother than without the backing. We have an extra 0.5db or so of total attenuation but we are now about -+3.0db.
Next is the Screen Research CP2 material. John Caldwell @ St. John Group who represents the Screen Research in North America was kind enough to provide my sample.
The SR CP2 is woven like the Vutec. It differs in physical appearance by having a more complex weave pattern. The Vutec is a straight up-down weave on the X-Y axis. The SR sample has a horizontal weave with fewer apparent holes in the material. The two samples along with the Danzian are similar in color with the Danzian being the closest to pure white.
Once again I took measurements of the PC2 with and without the black backer. Here is the first measurement with the black backer.

I'd say we are about -+3db and there is about 3db of attenuation from 2K to 20K.
Here is the measurement without the black backer for reference.

We have less total attenuation and we are still -+3db or there about.
Just for kicks here is the black backer alone with no screen material.

This is about -+2db with 1.5-2db of attenuation sloping from 2K-20K.
The final measurement is the Danzian CCC, which is popular among the DIY screen building crowd. It is lighter than any of the other samples. It is a cloth weave that has less stiffness than the other samples. Stretching on a frame is required. The weave is less noticeable than either the Vutec or the Screen Research. I'm using black speaker cloth behind this screen to help with light transmission and reflection.

This is about -+1.75db across our measured response. It has little total roll-off from 2K-20K. I'd guess about 1db of loss.
The Danzian is a lighter material so I'm guessing that is the largest reason for the better performance. I'm also guessing that it will allow more light to pass through decreasing total gain and increasing the need for controlling light behind the screen. I don’t have the equipment to measure light so this is just speculation on my part. I have a room with total light control but a relatively low lumen output DLP projector. I’ll update how the Danzian CCC is working for me once my room is done.