I think it's really dependent on what combo of those moves CAP 8 gets.
I would say Heal Bell/Aromatherapy be Allowed only if it doesn't get a SpD-boosting move outside of Stockpile, in which case I don't see why we shouldn't give it Refresh as well. It's bulky enough to use it, but so are Celebi, Pyroak, and Blissey, and even they don't run it much, so why not? What's wrong with another pokemon who can but probably won't run HB/Roma? Also, giving it something like Cosmic Power or Calm Mind and a way to heal its own poison status 8 times (or even, god forbidding, a recovery move) makes for an outrageous tank that should maybe be avoided.
Curse is lame and no one will use it over other things, so Allowed.
FT/MS for Unallowed to keep Blissey and Snorlax as solid counters, although I don't feel all that strongly about it.
Taunt for Allowed because it's situational at best and really only serves to shut down the (slow) Toxic users who would come in when CAP is too beastly to kill with attacks alone. Again, however, Taunt for Unallowed if it gets Cosmic Power/CM, as most Toxic users are slower and that's pretty much gg if CAP has already become an impregnable wall.
Light Screen or Reflect for Allowed. If people want both, they'll run a dual-screener, which we don't need another of. Which screen it gets will most likely depend on what pokemon people will want to surround a supportive CAP 8 spread with. I personally would prefer Light Screen, especially if CAP gets no other SpD-boosting moves.
Cosmic Power for Allowed so long as it doesn't get status healing (outside Rest), Calm Mind, Stockpile/Swallow/Spit Up, or any SpA-boosting move bar Charge Beam (which it has). It's a good move for walling, but overpowered when attack boosts are also on the table, so I say we solidify more of CAP's movepool before we make a decision on this.
Moonlight/Morning Sun/Synthesis as its only form of recovery outside of Rest/Leftovers for Unallowed unless we want Tyranitar on every team or a million CAP 8-centered Sunny Day teams. I honestly don't see a problem with insta-recovery. CAP 8 has 108/118/70 defenses vs. Hippowdon's 108/118/72, which gets Slack Off and doesn't abuse it to a game-breaking degree. Sure, CAP 8 has better typing, but its counters hit way harder than Hippo's, so it won't always come in handy.
SR for Allowed because so many pokemon do it better, but it could be a good filler move (although I don't really see filler moves happenning here).
Yawn for Allowed to shut down sweeps that could otherwise end the game. CAP's bulk makes it able to switch in on stat-upped pokemon and get at least a move in before it gets dumptrucked back into its pokeball. Again, it won't be seen often, but it has use.
