It really depends on the amp but most low power tube amps should work fine on a power conditioner. I personally run mine on a variac I keep set at 115v works just fine.
Would a tube amp generally do better on power conditioner than a SS amp?
If I have understood the posts on the subjects correctly (and it is quite possible that I haven’t) most tube amps do not double their WPC when the impedance drops from 8 ohms to 4 ohms and therefore do not meet the criteria to be a high current amp. If I have that part right, would that also mean that having a tube amp plugged into a device or component that potentially inhibits or limits current would not effect them as much as it would a high current ss amp?