I don’t see a reason why basic and cloze notes have to be separate. Instead of this, we could have a single hybrid note.
How is it going to work: In the card management window, we would have a checkbox indicating that a card is cloze. At most, only a single card in a note could be cloze, with the cloze deletion logic applied as we know it. Other cards shall behave as basic cards with cloze parentheses/hints inside fields removed.
Would it make sense to implement something like this?