Well, Unicode didn't unify 門/门 either, but the appearance of the second glyph changes a lot depending on whether you use a Chinese font or a Japanese one. Meanwhile they did unify all the graphical variants of Latin characters with identical semantics, it's just that everyone is so used to the result that you hardly notice not being able to control whether g has a hook or a looped tail, and nobody expects to copy some German blackletter text into a French document and have it show up visually distinct, without explicitly setting the font.

Yes, and Cyrillic letters also look quite different in Bulgarian and Russian fonts. So what?