I'm truthfully curious how you think that might work! I can absolutely agree that an approval style method is much better than FPTP. My biggest concern is tactics via bullet voting (thus returning to a sort of pseudo-FPTP), which gives a preferential/ranked ballot the edge in my view.
As for approval approximating a Condorcet winner, I suppose my intuition isn't making it immediately obvious to me how it would accomplish that. With a multi-checkmark ballot you wouldn't be able to do the head-to-head pairwise comparisons to determine the true Condorcet winner.
Always happy to chat electoral systems! :D