“@joseph correct context would be that in Halacha a man’s life comes first because he is obligated in more mitzvos”
That’s exactly what was said in the very first post the Rambam was cited on this thread. So the context was here right from the beginning:
(You’re second reason about suffering less/quicker isn’t an accurate explanation for this Halacha, even assuming the point is correct — which is unlikely. Women don’t suffer less and aren’t quicker to offer to give up their lives.)