Heavy duty amp stand, Sonic benefits?

100% YES is the answer. Those cheap stands will vibrate whenever your high end system is providing sublime pure sound. This induces capacitor jitter which degrades sound as vibration effects capacitor output. For those of us smart enough to have all tube systems the same can be said for the induced filament vibrations which also effect output. I use poured concrete stands and then have special isolation feet beneath the stand and each piece of gear. I only do this in a room with a concrete floor and the outstanding results speak for themselves.

@mahlman

Really interesting comment.

My basement has cement floors, of course, and I think there’s benefits of this versus wooden floors but I could be wrong.

Benefits to tube amplifiers is more interesting

My Patios InPol Heritage integrated sits atop a heavy (non-audio) wooden rack.  
the stand is two IKEA APTILIG bamboo boards (1-3/4” each) separated by Herbie’s  Giant Fat Dots with Herbie’s Giant Fat Gliders under the stand.  
 

Isoacoustic OREA- as amp footers.  Amp weighs 135 lbs. 

I used heavy duty solid iron Lovan stands for my entire system. Each is filled with lead shot. Each stand weighs 80 lbs. My system consists of 9 stands, with the 10th used for a TT. The stands were purchased used off Craigslist some 12 years ago for less than $1k. But I did have to drive from Seattle to Portland to get them. My system has never been quieter. 

@emergingsoul   Please do not take me seriously. I responded to this topic because I think your stand makes no difference at all and I was being flippant. At times I find questions here are either off the wall strange, see how much I spend braggadocio or troll bait and I don't quite know if you are seriously asking or just having fun waiting for results from your "post"