I think that the Brits have the advantage due to their long and distinguished tradition of sports hooliganism. The Russians have the handicap of not yet being recovered from those grim decades of rule by commie killjoys who disfavored robust populist lawbreaking. In sum, free societies are better at just about everything, including riots and affrays in sports venues.
Britain banned their hardcore hooligans from traveling to France. So the Russian gorillas in France had an advantage.
Russia will face a stiff penalty for the brawling INSIDE the stadium. Big no no there. Some talk they might even lose their World Cup if this continues.
I doubt that Europe will deny the Russians their wins due to misconduct. The Europeans have so long tolerated Russia’s large scale cheating in the Olympics and other sports that any abrupt change in policy would be seen as unfair.