would you agree that they don't have rules which specifically ban or suppress or mention recursion in order not to use it?

Yes, absolutely. I don't even need to go past English to find structures that we don't use for no apparent reason (ie. the structure will get marked as 'odd' but not flat-out wrong by native speakers, and the meaning will be completely intelligible), so it's plausible to me that a culture might just not like recursion in their language for no apparent reason.