Chye Isuel:
wizards can learn the elemental spells, just not plant and animal spells, or healing spells
Yes, exactly.
Masugatan:
Are even the air spells that overlap with the weather college allowed?
Yes, as long as they are
cleanly in the Air college (like Lightning). If they require a side trip into the Weather College first, then no.
See Pyramid 3-60 Dungeon Fantasy III, Wizardry Refined for the full new prereq list.
I can make a copy of the prereq table later (after work) if you guys want and PM it to people that need it.