I don't like mixing Kakshi as an example because his one eye had been Obito's . Now Obito has had all the bijjus + senju + uchiha's chakra+rinnegan at one point. So I don't know what his eye was carrying and why Kakshi was able to manifest a PS . All the other people couldn't , but he could. That can have 2 possible cases:-
1) Since at some point , Obito had the Rinnegan, which is one step beyond the EMS, dunno if that had some effect on his chakra, which was transferred to Kakshi afterwards, due to which he could get a PS
Or
2) It is just about potency of Chakra
2 could be a plausible explanation, but is it the only one ?