Google doesn't want competition
That is a statement that reveals more about your own biases than it does about Google. There is no evidence indicating Google doesn't want competition.If french businesses can and will produce competitive search products then they wouldn't need the market leader to leave the market to give them the opportunity. There is 0 barrier to entry here. Anyone can spider the same pages Google does. Anyone can develop ML algorithms to rank them. The only thing keeping Google at the top of search is how good they are at it.
Google is global leaving France wouldn't hurt them.