Another point is who pays. If the paper is submitted by a huge Consortium that received more than 2 millions for a given research, all the interests are aligned

Another point is who pays. If the paper is submitted by a huge Consortium that received more than 2 millions for a given research, all the interests are aligned to pay 10K in publishing fees: Nature is very interested in publishing a less-than-perfect work if they pay 10K. The Consortium is very interested in publishing in Nature and Open Access to give the work a maybe undeserved push. And the money comes from other pockets.