I know that heroic characters can use twists after reincarnation but this is, IMO, a mistake. Twists are supposed to be a way to share epic abilities at epic levels -- not a way to pull epic abilities down to heroic levels.
So the basic principle that a paladin enhancement should only be available to characters when a paladin's heroic level is high enough to use turns ought to still apply. Class enhancements should only apply if that class is able to use them.
Might as well argue that a L1 cleric has turns so DM should stay at tier 1. Rationally there is no reason why a cleric 1/paladin 1 should have DM when a paladin 3 cannot. This makes no sense with respect to the entire class based focus of character development or thematically or rationally. More than that, DM for clerics currently requires cleric 5 -- so it makes no sense to give a 1/1 split something that neither class can get by remaining pure until L4 (coming) or L5 (current).