Not chaining the scientific process to objectivity might improve the evolution of scientific processes, but it won’t really bring the world any good as of now. Objectivity, as nebulous as it can be sometimes, is reliable enough at aligning what we think the world is and what it actually is. Plus, having competitive methodologies would just create silos of scientists all working on their own “science is X” methods, with nothing binding them all together. And how would you get someone who believes ‘science should be X’ to listen to someone who believes ‘science should be Y’?
Maybe if we’re on a new planet, an ‘epistemic anarchy’ is worth trying, but not on Earth, where the objectivity train is full speed ahead on an Ouroboros track.