I predict that the importance of refereed science paper, like say Nature or Science, will rapidly decline in many fields. They are a relatively recent phenomenon in the history of science and there's no particular reason for them to continue in their current form.

A better path forward is to shift from static journal articles to open, living Git (or similar revision management tool) repositories. That way everyone can file issues, add comments, submit PRs, etc. Obviously there will be some administrative challenges to block junk submitted by malicious or ignorant users but those problems are solvable.

I guess the Poincare conjecture or the theory of relativity will continue to have "little value" until they get published in a peer reviewed journal