This is important with dual triodes like 12ax7 and 6922.
If both triodes are used in parallel, the tubes can be matched using both triodes together.
It's really only a problem if each triode is used separately as in a phase splitter like a long tail pair. 2nd harmonic will increase if the gain is off, but some might prefer that as 'warmth'
A real benefit is testing tubes every few hundred hours to ensure match is still close and no tube is not heading south. Additional benefit is 'cleaning' the pins and sockets from the removal / insertion.