...Also, height by itself has no implications on in-game performance.
If that's true then why have heights at all? I mean, seriously, if there is no practical use to it, then why have them in the game? I totally agree with Franchize2314 -- it's anoying and it should be fixed.
Height is important, just not in the way you think.
The fact that it affects training, as it was noted in the previous post, is that when you look at well-developed players who have been trained for 4-5 seasons, it's virtually impossible to find any decent centers, just because they lag behind the tall guys so quickly.
I think this is a fairly realistic implication, even if it can be somewhat counterintuitive for new users.
"I don't know half of you half as well as I should like; and I like less than half of you half as well as you deserve."