They surely have military supremacy. It is hard to compare special forces as they cooperate and exchange their methods, so they are all very similar (in nato at least).
As for the "common" soldier, americans have a huge army relying on technology. Smaller armies in Europe for example can focus much more on quality for their regulars.
Wars are mostly fought by special forces these days. Conventional forces meet their limits pretty quickly because of guerilla and that is not new. Spain and Indochina for the French, Vietnam and Afghanistan for the Americans.
Some terrains make technology useless (tanks, planes, ...). And it is hard to fight invisible enemies, especially when the population is not supportive of the foreign forces (in best case scenario).
It is hard to tell which SOF is better than the next, nobody really settles for a stable ranking board. There are good arguments everywhere and it is not as simple as ranking the "regular" forces by technology, experience, numbers, doctrine and power projection scores.