The Neanderthal were almost certainly collectivists, like the British. This is strongly suggested by their inability to form large bands and tribal groups. Being collectivists, they would have had a hard time making efficient use of resources. This would translate into smaller bands; no more than a dozen individuals. A collectivist mindset would also explain the glacial pace of their stone tool development. Such a society would be more inclined to stifle innovation. Neanderthal tools remained nearly static in form for thousands of years.
Cro Magnon, on the other hand, was likely less burdened with these economic hadicaps. Their tool development was explosive compared to Neanderthal. They also were better at exploiting their environment and formed larger bands. This, in turn, would later allow individuals to pursue other forms of labor, such as metallurgy or the production of trade goods. Technical innovation was encouraged and further enriched the society as a whole.
The connection to modern Britain should be abundantly clear!