After decades and decades there are still no conclusive results about how different types of workplaces influence productivity and mental health, but even if there were manager would not even look at them and instead make decisions based on perceived productivity and "common sense".
We are already incapable of replicating studies with fewer variables.
A survey of company success (measured in profits, or market cap) vs office layout, trying to see if there is correlation would be more useful. Even accounting for the fact that there is a lot of cargo culting, and unhappy employees.
No idea about the latter, though I'm much happier having removed a 3 hour round-trip train commute (will it turn up on time? will it even turn up? will it be delayed en route?), but as far as productivity is concerned, my previous employer, like others went fully remote during COVID, and then stayed that way, based on internal evidence.
For all development teams across the company (green field, existing, maintenance, whatever), the number of PRs almost doubled for each team, and slightly less tangible metrics such as down-time, bug reports, decreased by non-trivial amounts, and quite a few product milestones were hit early, by quite some margin. That on its own was statistically significant, as pre-COVID, I don't think they hit any milestone dates.
Of course, you can argue that all of those are due to less meetings, less interruptions, easier availability of people to diagnose problems, and perhaps even better planning is required for being remote, but ultimately, all of those have improved the productivity of my former employer.