[analyzer][NFC] Cleanup BugType lazy-init patterns (#76655)

Cleanup most of the lazy-init `BugType` legacy.
Some will be preserved, as those are slightly more complicated to
refactor.

Notice, that the default category for `BugType` is `LogicError`. I
omitted setting this explicitly where I could.

Please, actually have a look at the diff. I did this manually, and we
rarely check the bug type descriptions and stuff in tests, so the
testing might be shallow on this one.