I am also dealing with the never ending isolation question, and to your direct inquiry, have been using HRS platforms sucessfully on a Music Tools Alica stand (somewhat similar to the Burmester stand; looks like some kind of MDF composite, but the technology description is somewhat vague). This was an improvement over a Salamander Synergy rack with the HRS paltforms I was using as a band aid measure while I was waiting to move into my new house.
In general, I have found that that the HRS platforms work well on any fairly rigid stands, including solid maple (never tried walnut); the one experiment that did not work well was putting them on a Finite Elements Pagode Master Reference rack - much better without the HRS on it (possibly the experience was similar to your use of "resonating" racks). With that said, they have certain "flavor" that is distinct from competing isolation components, such as Grand Prix Audio and Finite Elemente.
As to some comments on the Core Audio Designs racks, I am a huge fan of Arnold (a true gentleman) and his products, and currectly use his diffusors in my system. With that said, I am not sure that replacing your HRS components with the Core Audio Designs racks will get you what you are looking for - however, they may work together synergistically. I suggest you give them a call to see what they have to say.
Best of luck,
Ray