Have you been on a team that adequately managed a list of thousands of warnings, always finding and fixing just the ones that are "important"?
In fact, out of the dozen or so TS codebases I've worked on, I've rarely seen one completely free of type errors. And yet no team has ever doubted the value of the type system. It's a very pragmatic approach which works very well for many teams in my experience.
We opted to keep it strict (no implicit `any`) through the entire transition but only apply it to ts files, so we are indeed completely free of type errors now. We only have 50 cases of (explicit) `any` in 85K+ LOC and they're in type def files.
Let me be the first person you've met to doubt the value of the type system. I do like the in-editor support, but you pay for it with about 25% more code.
I'm certainly not advocating undoing it, but I personally wouldn't do it again (though the team has mixed opinions).
Just curious: What's your test coverage like?