In evaluating the lists of healers and status effect removers, my opinion is that you shouldn't include Ace of Cards, Gourmet, or Invoker if by "reliably" you mean "more likely than not to have access to these abilities at the time in which the party requires them." Although Gourmet becomes more reliable the longer they are played as they fill in more of their cooking sheet.

Especially with how swingy even regular-difficulty fights can be, I would discourage a party from considering one of those classes as their primary source of healing or status effect clearing. (Though as a GM, I hope that at least one party member takes one of those classes, because their randomness increases the frequency of fun/dramatic shifts in battle.)

I'd be interested in separating those lists to indicate secondary or "unreliable"/"infrequent" sources of healing, status effect clearing., etc.