I mean bandwidth as in frequency response. I can't find any info on your website as to the technology used in the LDRs but I assume they are semiconductor based (i.e. they are not thin film resistors which would have very high BW) so I'm wondering what is the BW of the system?
There's no info on frequency response because it's a purely resistive device. Much like a resistor or a pot there's no capacitance or inductance to speak of in the audio band. I believe the photoresistor material is considered a type of thin-film semiconductor.
Also, given the variable (and high) output impedance, the capacitive load of the cables and amplifier input will impact the frequency response of the system when driven by your preamp so not sure how to account for that in a standalone measurement of frequency response of the preamp. In other words, this component now becomes part of a system comprised of the source impedance into the preamp, the interconnects to the amps, and the amplifier complex input impedance - and the volume setting!
This is all true but quite easy to avoid becoming an issue. I've run calculations on this and as long as you use decent quality (i.e. low capacitance) interconnects between the preamp and amp and limit the cable length to say 6-8 feet or less you're not going to experience any roll-off of the high end. I had one reviewer who had 25 foot ICs and I warned him this could be an issue and he went ahead anyway and swore he couldn't discern any problem. I don't recommend doing that but there you are.
I'm thinking the frequency response should be quite good and this is something you should promote as a benefit of this approach but I simply don't have enough information to make an informed judgment.
It doesn't get any better than flat. I think I'm too much of an engineer to promote a resistive attenuator with a flat frequency response. I need to talk to the marketing department.
I know someone using your LDRXB and he raves about it but I would want to hear one in my system to evaluate how it performs in my specific scenario.
Sounds like it's time to just go ahead and buy one and get on with evaluating it. You have 30 days to try it at home and find out if you made a mistake at which point you ship it back and get a 100% refund less your cost to ship it back. Not much downside other than your time and a $35 UPS bill.