The history of the cross as a symbol in European or Mediterranean society is an interesting one, but what’s clear is that the cross has changed significance, and even within Christianity contains and has contained many different forms with different significances.
I think a useful way to think of the cross is as a pulse of light, as in a star.
This can be a dual meaning – cross as crucifix, and cross as new star, perhaps.
This better captures to me the dynamic, experiential nature of a central part of Christianity (‘light of the Holy Spirit’) as well as what the crucifixion is supposed to represent (a new light or link or possibility that has entered the universe).
Christianity as star-burst.