Rebuilt Title

I keep seeing different listings for 3rd gens with rebuilt titles but, how much does this really affect the value of the vehicle?

Love these cars and know they are getting up there in age but, it is getting harder and harder to find a pristine example of one.

How does a rebuilt title affect price compared to things like frame rust, 300k+ miles, etc.

Would y’all rather have a lower mileage, relatively sound runner with no rust and a rebuilt title or a rusty, high mileage, mechanically finicky one?