You are both correct - though I think that the immediate impact (not the long term one) of the French Revolution was larger in Europe. After all, it was Napoleon who changed the political landscape of the continent forever.
The same Napoleon who crowned himself Emperor? France flirted with being a Republic, but it took them over 100 years to actually get there.
I was just discussing with my wife that it was basically Napoleon who created Germany - by his merging together of the different German statelets and giving them a common enemy