Not necessarily, it could also mean that homo sapiens was just more successful - better fed, bigger population, etc. It's not likely that early sapiens was so organized that they intentionally genocided neanderthals, it's more like they were subsumed etc. A slow process across thousands of years.

Outcompeting includes murder, rape, war, and cannibalism. But we have population overlap for millennia, so that’s kinda factored into numbers.

All primates are resource competing, so outcompeting is also drinking up their milkshakes. But, again, that’s the baseline.

Non-conclusively, from my lay understanding, the tail end of falls into general bi-lateral competitive practices and breeding rates leading to ‘us’ not ‘them’. All columns all the time, not one crisp incident or behavioural change.

[And there’s no indication that ‘they’ geno-rapo-ate us any less than we them… if being slightly better at mass murder was the difference, then yay for our side?]

Great question. When people say outcompete it can certainly include violence but we’re talking about populations spread over continents over thousands of years. Factors like technology, fertility, adaptability, etc. are more what people mean when they said outcompete.