I was gonna post this scan but you beat me to it. I will just post this one again where Emma was in storms body. upon emmastorm using her powers for the first time she was exhilarated. if telepaths and telekinetics powers were the same I'm pretty sure she wouldn't have been as enthusiastic as she was upon using them. also she mentions she a living part of the storm:
Claremont would not have gone through this description of Storms powers if they performers the same way as telepathy telekinesis.
Pak also aware of the functionalitu of her powers stated her every nerves are connected with winds:
and Claremont again shows this connection between hee and the elements with the weather responding automatically to hee emotiins: