Most likely, Homo Sapiens greatest advantages were social larger groups with more complex structure,
I guess bronze age would probably mean better foraging, hunting and sivilculture(I doubt agriculture proper) so their population density may match that of Sapiens.
But back to the social advantages. For some reason, Neanderthals all had Sapien Y DNA millenia before we replaced them and may have also had Sapien Mitochondrial DNA. This to me implies Sapiens had a nack for you could say, socially outcompeting Neanderthals, so it is entirely possible that Sapiens still replace Neanderthals by slowly adopting their culture, then dominating it and outbreeding them.