Right now The pokemon comparer only shows BW info, and there is no way to toggle HGSS info etc.
and since for most people BW is still aways of not to mention all the Move tutors in HGSS don't show

also Comparing pokemon Doesn't show moves that a Pok

How does I inglish?

??????
Do you mean how would you do that?
Well for the HGSS toggle I have no idea,

But For inheritable moves and tutored moves
I'd just put the entire learnset (from the psydex) on the comparer
because I'm not interested in what level it learns the move just what moves it can learn.
but I'd show the moves in groups
1. Level up and Inheritable level up (like caterpie, metapod and butterfree)

2. Egg moves (note that some pokemon like snorlax and munchlax have different egg moves, but both should show up on snorlaxs page)

3. Tutored moves (should be sorted by generation -> like snorlax FRLG+E, DPPl, HGSS, BW) and note that some pre-evolved pok