In the mid-17th century, the Louvre in Paris was the subject of several plans by various architects - Bernini, Cortona etc. However, the designs were rejected as "too Italian" and the winner of the design competition was a doctor from Lorraine - Charles Perrault (also the author of Cinderella) - with his stark neo-classical colonnade.
But say one of Bernini's designs had been accepted? Bernini already influenced Mansart in his design for the Chapelle des Bourbons at St. Denis (never built and the design reused for the church of the Invalides), and French art and architecture set the tone for the rest of Europe until the Revolution. What would more than a passing lip-service to the Italian Baroque do to Paris?