As such single issues are often a fake justification for what they want to happen for other reasons.
Honestly, the jobs where the benefits of stimulation and social interaction outweigh the physical and or mental stress of the job are not the kind of jobs most people have. So if you wanted to do what’s really best for most older people, it would be better to find ways to engage them other than financially forcing them to keep working whatever job they can get - which is what raising retirement age does.
What would be really killer would be finding more ways to enlist retirement-age professionals in training young people, in a variety of occupations from carpentry to programming. The young have the stamina and strength but lack wisdom; the older people have learned a lot and could share that knowledge and wisdom.
Surprisingly, men ages 51–64 (this was specifically about men) “need” their jobs for their own health.
We could imagine studies done in more patriarchal cultures: unmarried women over the age of 40 suffer from psychological and physical health problems more than married women over the age of 40. We’ll just leave out the parts about how unmarried women are penalized socially, constantly. Policy recommendation: we should get women married, it’s just good for them.
[1] This was the hypothetical laid out in the original comment.