It's the common mode rejection nature of the circuit. The B+ used for the plates contains a high amplitude 120Hz 'ripple' signal due to poor filtering by the first filter cap. This signal will be applied equally to each tube. Now if the tubes (and the rest of the circuit) are perfectly balanced, these two equal 120Hz signals will perfectly cancel due to the way the perfect OT recombines the plate signals. Equal signals of the same phase (called common mode signals) will subtract resulting in zero signal out of the OT. Plate signals that are equal but 180° out of phase (this is the desired signal coming from the grids) will add and the results is a signal that is twice the amplitude of either plate signal. This becomes the push/pull effect of the circuit. That's the way a perfectly balanced circuit works.
Now if you unbalance (mismatch) the tubes, the B+ ripple signal will now be greater in one tube than the other so they will not perfectly cancel when recombined in the OT. This results in some 120Hz signal being passed on to the speaker causing audible hum. Greater mismatches will cause greater hum. The ultimate mismatch would be to remove one of the output tubes.
Any mismatch should result in a measurable hum even if you don't hear it. There are lots of other factors about the circuit that can also contribute to mismatches and imperfect common mode rejection. And many things contribute to how well you hear the hum. The frequency response of the OT and the speaker are big factors. Even the speaker enclosure has a big effect.
You can completely eliminate the 120Hz hum by improving the power supply filtering (or use batteries) to deliver a pure dc voltage. But this is expensive and impractical, especially with higher power amps.