Pafaro may be a shortened form of Państwowe Fabryki Rowerów (State Bicycle Factory). This may be an early name for the entity that became ZZR and then Romet - or it may be a completely different organisation. I have read that Pafaro operated factories in Poznań, Bydgoszcz and Czechowice and existed from 1945 to 1948. I have also seen claims that Pafaro manufactured bicycles in 1958. Pafaro often seems to be closely associated with the Bałtyk bicycle - which may be a bicycle brand or a model (possibly ZZR or Romet’s most prestigious racing bike of the mid 1950s). Finally, I have seen coaster brake hubs branded Pafaro with the model name Łucznik (Polish for ‘Archer’ - but without the ‘Sturmey’).
As ZZR was formed in 1948 and also seems to have operated factories in Poznań, Bydgoszcz and Czechowice, it does seem likely that the two organisations were related.
In terms of derailleurs, I have a Pafaro branded derailleur that I have yet to photograph, which is a very nicely finished copy of a Simplex Tour de France. It does not share anything in the way of quality or detailing with the ZZR (1st style) in this collection - but it is a Polish copy of a Simplex original - which probably counts for something - and there is evidence of ZZR also producing a copy of the Simplex Tour de France.