Is *cunctus homo* intelligible, and what would it mean?

I’m was thinking up variations of “omnis homo” (to mean ‘every person’) and though about using ‘cunctus homo’. The meaning I’d want it to have would be something like “mankind in its entirety”, but does the phrase as it is actually say this? ‘The whole man’ isn’t quite what I’m going for.

As a side question, can “homo” ever mean ‘humankind’ on its own, or will it always be taken to mean “a person”?

Homines would work better