I wouldn't reject objective facts, but I also wouldn't believe they exist any more than I would believe Santa Claus exists, unless someone can successfully argue for their existence. AFAIK this has yet to be done by philosophers (though there have been many attempts).

E: I should mention that it's not just a binary yes or no here, there is a 3rd option of "I don't know" and I would rabidly defend the "I don't know" camp until someone can convincingly argue one way or the other. All of this has nothing to do with the actual usefulness of science which is unquestionable in my opinion.

This is strictly talking about science "overreaching" into the philosophical realm if you will, where even from the start, methodologically it doesn't have the right tools to answer these questions. You don't prove scientific theories "true", you just accumulate more and more supporting evidence. It never hits a magical moment where the neon lights turn on and a sign says "Your theory is now true! Congratulations!". And even if it did, it would be fleeting anyway because there are no sacred cows here - your theory can just as easily get supplanted by a better theory in light of more evidence.