I remember conversation with Kevin of VAC and he said exactly the opposite.
I generally agree with what Kevin says, but we're all individuals and different in key ways. Anyways, he's almost certainly referring to rolling different makes of the same type. Meanwhile, I'm much more willing (than most) to play fast-and loose with rolling different types into power slots, as long as it's guaranteed safe. E.g. KT88 versus KT90 and KT120 or KT150. Depending on amp, you can even mix more different types in there, like EL34, 6L6GC / 7581A, etc.
This will certainly make many cringe (maybe Kevin too), because the fact is an amp can only be "optimally" designed for the parameters of 1 output type. That's why I called it "playing fast and loose". But here clear as day, I can hear one of my VAC amps (450S) sounding far better with KT120 than the KT88 it was designed for - in THIS room, on THESE speakers. Meanwhile, another VAC amp (Master 300) sounds far better with the GL KT88 it was designed for, than those same KT120. The sonic difference from these KT88 versus KT120 rolls is far greater than any small-tube rolls. KT150 does the same again, but there I've always found the results too bass-heavy.