YEC on its own isn't anti-science as much as about metaphysics. The main objections are more about why God would create fossils that look millions of years old. That is an interesting point, but it is a theological point, not a scientific one.

That being said, there are a lot of folks who are bad at metaphysics involved in the discussion that tend to drown out the more coherent takes on the subject.

But this is a broad and diverse area of discussion. It's not fair to say "The Church" is anti-science with respect to a metaphysical subject.