as my old AP US history textbook (American Pagant) put it.
"saying Americans won the revolution would be like saying 'Daddy and I killed the bear"
The Americans didn't beat the British, the Americans, the Spanish and French Navy and huge French deficits beat the British. This is important considering the impact French debt would have on French finances leading up to their revolution and explains why the French saw it as their victory (though they were miffed when the US broke the terms of their alliance to sign a separate peace with GB). There are lots of first and second order ramifications for the French after their victory and American independence.
I think the Franco-British conflict helps place it in a much better context for understanding how Europe reacted to the victory.
The Dutch were strongly pro-American after the war considering 1. the historical attachment to republicanism and 2. strong trade interests in having an independent America and thus were one of the first nations to recognize America and float her loans though involvement in the war cost the Duch their indian possessions.
i'm going to stop here because i have a feeling i'm not really answering your question which might be a more ideological question.