My annoyance is with
Woodhall Elf, Exile being overpowered enough already, drawing six cards per turn (possibly nine or twelve with move limit stuff) would be a bit too crazy cycle I think. Add
Legolas, Fearless Marksman,
Robin Smallburrow, Shirriff Cock-Robin and all of the initiative abuse from set 10 and a pretty mean fellowship could be made.
Other than that I don't know that it would effect too much at all..
If the rules were officially changed to include companion to companion transfers I would still play.
(Even though ES has already pointed out at the moment it is already possible for Comp to Comp transfers because aid game text doesn't say otherwise, I have not yet seen a game on gccg that someone has tried to transfer a follower from comp to comp after double moving, but have seen alot of double moves and alot of followers used..)
Go with Thranduil's suggestion and add 'support area' to the 'aid' gametext.
Intention should defeat poor rule wording. (The same goes for
WITD, but that's another discussion

).