It's been a while, but doesn't approval carry a very heavy risk of 'unfavorable' outcomes where a less popular candidate wins if everyone votes normally? I remember it seemed to reinforce two candidate contests and encourage simply voting exactly like we do now (with the similar outcomes).

-Reading into it more, that happens because if you vote for your second favorite, they may beat out your favorite, but if you do not vote for any but your preferred, you won't risk spoiling your own vote. This of course can lead to neither winning and a third candidate nobody wanted winning, similar to first past the post.

I think that RCV, being fairly widely used now, seems like a pretty good alternative to first past the post, and while it's not perfect, doesn't have those obvious strategic voting issues that Approval has. I'd still take approval over first past the post. Might even take a dice roll over first past the post honestly.

Edit - for disclosure, I'm also iffy on approval voting because it's constantly referred to in a way that makes it sound like it's a kind of panacea, paired with a list of why x other voting method doesn't work. It's also being pushed by conservative groups all over the US, which raises my defenses for better or worse.