Elaborating on tex_live_utility's comment:
They are called Cherry profile because Cherry was the company that popularized this keycap profile in their vintage boards.
Thick PBT/ABS always sounds better than thin PBT/ABS.
Cherry profile is a lower profile than OEM profile, meaning the top of the keycaps are closer to the surface of the board.
These are really nice keycaps, and you probably will not be buying them if you aren't using a custom.
Sincerely, treeleaf64