I skimmed their docs and I don't see any sort of language that corroborates what you are claiming.

They DO seem to have some sort of review process in place:

https://f-droid.org/en/docs/Inclusion_How-To/

See: Application Review Process.

I don't know how exhaustive it is or how effective it is in practice though.

They don't do a thorough code review, but they are human beings and they manually build the software from its code repository, so they will notice these kind of discrepancies.