If that thing in your pictures is what Neanderthals really looked like, then that thing wasn’t making pressure flaked stone blades and fashioning them to spears and such. No way in God’s green earth. That thing is quite a few evolutionary steps short of a tool making animal.
Neanderthals were cannibals who buried their own dead, which is sort of a conundrum if you think about it. They find Neanderthal bones with cut marks from butchering and no indication of Cro Magnons having eaten them or been around. What it suggests is that, like chimpanzees or mammalian predators, they never had any sort of organization beyond the family group level and probably viewed the living world as two separate categories i.e. their own family group, and meat.
Other than that.... they did have fire (which they had to be terribly careful of with the 8” fur coats), and they did have stone tools. Other hominids appear to have had stone tools as well.