Very interesting cyclic and reciprocal play. One of the original helpmate ideas I have seen in recent times.

Model mates would be a bonus but not thematically needed in such combination of cyclic and reciprocal features. The repeated Bxc4 attacks d5&e6 in 2 phases. Without a changed purpose, a repeated move is not only a "small weakness". But the cyclic shift of functions in the mechanism (sacrifice, guard, mate) shows a thematic difference between the attacks on e6 in 1st/ 3rd solution. So the repetition might be considered as only "unpleasant". The idea is indeed very interesting and some unavoidable compromises in the realization could be tolerated. The subtlety/esthetics of the motivations for the play appear as rather irrelevant in recent times. What could be more ugly and banal motivation for a white move than a brutal annihilation of a black piece which prevents the mate? It is ugly even in direct problems, but somehow the moves like wPb4xbSa5 have become quite a standard in helpmates. If I can't realize an idea without butchering my helper, perhaps the idea is not so nice after all.