Things develop with the time. Famous is the marathon. Historically a greek soldier Pheidippides runned 246 km and died thereafter, then the lengtth was reduced and the runner no longer died, at least mostly. So also the crucifixion could become something else than a lethal punishment, but most not. How about one could have the tradition, that all males of a society are bound nude on a cross, with cornu naturally, say at eastern and non-lethally, to honour GOD. The criminals (and the females) are excluded from that Joy. Joy because every male likes to show his member to the public, females mostly, but some likes to be seen by males or both.
So no, my criminals are punished by not being crucified.