Memory issues would be managed like this:
Whenever you tap ~ for mana, put a serenity counter on it.
If you would begin your combat phase while ~ has a serenity counter on it, instead remove a serenity counter from it and skip that combat phase.
If you have one of these that you've tapped for mana several times in one turn then you're able to keep track of your combat phase debt by the number of counters on it and tick that count down one combat phase at a time (or add to it).
This works fine with multiple lands of this style too. (Maybe you have
Mirror Gallery or you're running more than one in the cycle.) Each time a combat phase might start you pick one of their replacement effects to apply and remove a counter from just that one. You won't remove a counter from all of them at once because once the first one's replaced the combat phase, there's no more combat phase left for the others to see and replace.
But, yeah, for decks that don't care about the combat step, this is effectively a legendary
Taiga|ME4. For control decks that take a great many turns to eventually win at the combat step (e.g. with a solitary
Aetherling) they'll just wait a few turns to let their combat phase debt end.