I'm not sure whether anything without moving parts requires isolation. Why would it? Can resonances actually convert into electrical signal? If so, can we hear them?
I know Naim Audio have long employed various isolation strategies to reduce the effects of vibration in their pre-amps but they were almost unique in this regard. I recall that the circuit board on their 32.5 pre was mounted on top a piece of sponge.
@erik_squires, Townshend Audio have purported to provide some scientific evidence to back up their speaker isolation stands. My guess is that the benefits of isolation diminish rapidly with solid state devices where there is a lot less rattling about, and even then any benefits are perhaps only apparent with extremely low level unamplified audio signals (pre-amps or earlier).
Michael Green's post was interesting and I'm tempted to agree with his findings, especially those regarding high and low mass. However, as I'm also tempted to believe in life after death, a little scientific rationale would be most welcome.
Until then it just remains a matter of faith, nothing to get too hung about. Besides, as @elizabeth pointed out it's no big deal to experiment with Sorbothane or similar even for those less critical areas.