The labor force participation rate among the general population is ~60%. Among those 65-74, it's 25%. And that's not accounting for people who can't retire. It also doesn't account for those who want to work but are unable.
I don't think that's particularly good evidence for that. You're confusing "has a job" with "is working" and you are ignoring the age effects that are the whole reason retirement exists in the first place.
