You equivocate here on "universe" versus "(part of the) universe." Indeed, we're part of the universe, but we're not identical to the entire universe. If the universe matters to us, we can infer that the universe matters to part of itself. Something could matter to the entire universe only if some mind or consciousness were identical not just to part of the universe but to all material reality. And that's a very different claim than the one you flaunt here, that scientific evidence elaborates on our being part of the universe, which no mental gymnastics can obfuscate, etc.
Objectivity is real even if it's not absolute. There's a big difference between being impartial and being biased. If a father's judging a baking contest for children, and his daughter is one of the contestants, it's likely he's not going to judge the cupcakes objectively. But if the judge has no children and is a hermit who dislikes all children, he's more capable of focusing on the objective differences between the cupcakes. That indifference can make for objectivity, whereas our personal interests in some matter make us less objective and more prejudiced.