I don't know where the odd/even theories started, but I'm pretty sure fish can't count, so I don't buy into that at all.
Swim space is the issue w/ tangs, in a 240g you could easily have a group of tangs somewhat peacefully depending on species
I agree the even/odd rule of thumb is pretty much bogus as each individual fish's temperment trumps the number of fish. I have to disagree with the notion fish cant count though. Even the lowly mosquito fish can count to at least four (1, 2, 3, 4, then lots).
https://link.springer.com/article/10.1007/s10071-008-0140-9
Research is showing fish are much smarter than we've belived them to be, some fish scoring as well as primates on some types of intellegence tests.