Pretty good questions, thanks.
It's generally accepted that longer work hours decrease cognitive performance (see eg. https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2727184/), but the base is usually 40h a week.
It's hard for me to prove the first point in relation to me personally: basically, I've done an experiment where I've worked mostly 6h days (still 5 days a week) and have been consistently rated higher than my coworkers at a software company with pretty good developers overall. OTOH, when I worked usual 8h days, I mostly compared as average. But that's me comparing myself to others and in distinct time periods with different projects and opportunities, and different life circumstances. For an actual proof, I'd need to compare myself with shorter work week to myself with a longer work week, working on the same projects at roughly the same time and similar external circumstances.
So, it is certainly anecdotal, and I am aware of that.
However, in a similar vein, they don't have proof that 5-day weeks work well for them. They just "work" for them because that's the law in most places and they never tried anything else. Actual proof would require a number of long-running experiments, so it's pretty much out of the question for any one company.
As for the second point, my experience and opinion of research institutions is not as high as yours. What you get in academia are ~5% of very smart people very much interested in the subject, another ~15% of very smart people not very much interested in the subject matter, and the rest who simply went with the flow. I've tried to find data for "best in class postdoc student retention", but nothing turned up, so I can't back up my out-of-my-behind numbers with anything. Other than adding that if you look at most research papers, a lot of it is simply bull (i.e. not research at all or just one thing repeated ad-nauseam with slight modifications, for the purpose of getting appropriate academic points to keep grants and funding going).
You might also note that I've argued for a shorter work day as well, thus allowing for significantly more non-work work to be done by amateurs than just 1 day per week.
If the premise of increased productivity for shorter work weeks applies to research work as well (can't find any study on this in particular), then we'd see no drop in their productivity, and only an increase on whatever we get from amateur work.
But, for now, these are mostly "thought experiments", and surely not "science". It's mostly a simplistic, idealized view of where the civilization should go, and it's hard to prove benefits either way.