While it’s possible that Aurignacian tech particularly offered some advantages to our ancestors over Neanderthal-made Chatelperronian (or whatever other techs they used elsewhere), there are other possible reasons why H. sapiens became eventually advantaged over Neanderthals. These range from greater flexibility to exploit marginal resources by AMHs to high-mortality epydemics affecting the natives. The most thought-provoking explanation I have read though is that of Clive Gamble, who studied the spatial use of both species and concluded that Neanderthals used much smaller portions, maybe because H. sapiens had developed greater gender-based division of labor, allowing male hunters to exploit much wider areas without having to care for kids.

It’s not that they were stupid, they surely were not, but it does seem that both species had different strategies, different behavioural patterns and possibly our ancestors showed greater versatility. Generalists, wide-range resource users normally win.