Pour Akroma, oui, rien n'empêche de la jouer avec la mue :
"702.34a Morph is a static ability that functions in any zone from which you could play the card it’s
on,"
et oui, le coût de

étant un coût alternatif, tu dois toujours payer les coûts supplémentaires (le

que tu mentionnes par exemple).
Pour la cuve, il y a intéraction d'effets de remplacement :
"903.11. If a commander would be put into its owner’s graveyard from anywhere, that player may put it
into the command zone instead.
903.12. If a commander would be put into the exile zone from anywhere, its owner may put it into the
command zone instead"
et
"616.1. If two or more replacement and/or prevention effects are attempting to modify the way an event
affects an object or player, the affected object’s controller (or its owner if it has no controller) or the
affected player chooses one to apply, following the steps listed below. If two or more players have
to make these choices at the same time, choices are made in APNAP order (see rule 101.4).
616.1a If any of the replacement and/or prevention effects are self-replacement effects (see rule
614.14), one of them must be chosen. If not, proceed to rule 616.1b.
616.1b If any of the replacement and/or prevention effects would modify under whose control an
object would enter the battlefield, one of them must be chosen. If not, proceed to rule 616.1c.
616.1c Any of the applicable replacement and/or prevention effects may be chosen.
616.1d Once the chosen effect has been applied, this process is repeated (taking into account only
replacement or prevention effects that would now be applicable) until there are no more left to
apply"
Du coup, ça fait pas mal de cas possibles, mais pour répondre à ta question, si tu es le joueur actif, d'abord tu peux choisir d'exiler le général, et il pourra ensuite choisir de le mettre dans la zone de commandement.
Si tu es le joueur non-actif, il peut d'abord choisir de mettre son général dans sa zone de commandement, puis, si il ne le fait pas, tu peux choisir de l'exiler, et il pourra de nouveau choisir de le mettre dans la zone de commandement.