Guy,
Whether you use spikes to anchor it to the cabinet below or glue it to it makes little difference. The outside edges of the cabinet below are going to have very little resonance issue at all, especially being 1.5" thick.
And the resonance frequency of each of the panels on the H frame are higher than those woofers will be playing. They are subject to flex from pressure but making them 1.5" thick controls that very well. A front panel for the upper driver mounted across the front upper panel of the H frame further strengthens it and keeps it from flexing. Lining the panels with No Rez or any good damping layer will also help.
I lot of people tend to think that using floor spikes on a speaker is de-couple it from the floor or whatever it is setting on. That is really not the case. You are really coupling it to the floor or cabinet below. And that is really what you are looking for. It needs to be solidly anchored down or with the full weight isolated to small points (spikes) to further keep it from moving.
And DS-21,
In regards to the LX521. He basically separated the upper drivers from the lower ones in a separate box. That's a good idea. However, the lower box is still very lightly constructed and subject to a lot of flexing and panel resonances just like the Orion. The buzzing of that box is still going to cause coloration up into the mid-range. And the way that the upper drivers are supported is also very light. That is not much support for a mid-bass driver. That could also cause some issues.
I am really glad to see him get away from the wide baffles though. The sound of all the surface reflections from around the mid-bass and tweeter of the Orion always bugged me, and had a negative effect on the imaging. He also got away from that metal cone woofer. The sound of that woofer always bugged me as well.

Too bad that thing is all actively controlled though. It needs 8 channels of amplification!

Using good quality amps how much will that cost?