Geneva As A French City?

Geneva a very important protestant refuge during the reformation, the home of Calvin, Rouseau, where the red cross and Geneva convention were formed! Also significantly a UN home.
What if anything would have changed had it been a French city rather than a French speaking Swiss one?
 
I agree with the above post, likely it would simply be another city. Might change dates too and exact details are of course gonna get mixed up but the basic events won't be altered much in their effect.
 
Would it be outright annexed or just have foreign, defense, monetary, and measurement standardization coordinated with some French Ministry?
 
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