What is this feature?

The Alchemist integrated designed by Tim deParavincini when powered on the volume would go to zero before the relay would trip. Never cared for this feature myself. 

I don't know the name of the feature, but I've encountered it in two different versions. When my Classe CAP-101 powered up, the volume would reset to zero and a 10-second countdown ensued before it could be increased. With the Wyred4Sound STI500-II, if the last volume used before powering down is at or below level "29," the volume starts at that level upon powering up. If the last volume is "30" or more, then the volume starts at level "23," a moderate level. I prefer Wyred's approach but never minded Classe's, thanks to having a remote so I didn't have to stand in front of the amp waiting to set the volume.

hegel integrated amps do the same thing... turns on at 20% of full volume

Hegels also return to 20% after switching eco mode on then off.

I don't have this feature, so my morning often starts out at night-time levels (loud).  If I had this feature I would call it "Whew".