Theres like two liquid magics and one solid magic, and all the rest are energy based (fires, lightnings) or are probably going to be energy based (balance magic, gravity magic, etc.)
Healing magic can heal, that’s it. No damage. (And vet probably did not programmed plant’s part so life magic wont interact with world at all)
About wood.
Plant magic was mutation in AA (Just like most of lost/ancient magics), but wood was’nt. So my guess that Vetex just replaced Plant magic with Wood magic.