This is not how self-transforming mindsets work. They keep all worldviews in mind as they interpret data, and they switch between them at will. Convergence is not always necessary. In fact, some disciplines of science are simply far too speculative, even to this day, to warrant it.
Change in belief in science should never be an afterthought for our systems of scientific discourse. If you take a close look at physics education research, you’ll observe that change in belief is actually fundamental to learning itself. Peer review is important, but it is simply a subset of the larger system of discourse, which is also tasked with communicating new ideas in science.