The "next turn" rule is a tabletop mechanic anyway. In a video game, we can go with the more intuitive model of "same point in time during the next round".
But if you do use the next turn rule then yes. Like Dexal said, the rule would just be that you can only delay your turn after starting your turn so that particular exploit wouldn't work (but what if someone uses a spell to reduce your initiative? XD).
I think there should be a "delay turn" option, but ideally I'd like to combine this with overhauling the whole initiative / turn order system in DnD. I'm not really a fan of it. But I understand changing that would make people unhappy. XD
For the reasons stated there is actually a potential strategy behind having your entire (or most of) your party with deliberately low initiative so that you can exploit the turn order to get combos (eg sitting out of range during the opponents turns before charging in to attack en masse all at once). This effect is compounded in BG3: currently when you have multiple characters who are adjacent in the turn order, you then get to choose the order they take their turns.
So being able to delay your turn at least means that there's no disadvantage to having high initiative.