Earlier quoted context omitted.
Generally no. Data you get from FOIA requests is generally limited with what you can do with it. State specific laws, your use-case not withstanding
FOIA results can definitely go into public domain. That's sort of the point.
It really isn't - the point is freedom access, not free use. Information acquired this way doesn't magically become public domain, it may (or may not) have other constraints on it.
See e.g. https://www.justice.gov/oip/blog/foia-update-oip-guidance-co...