Not to say we have any real contenders, but it’s difficult to compete with Google when the French company pays 33% corporate tax while Google pays significantly less
Any would-be competitor to Google is going to want to plow most/all of their revenue back into growth for years, perhaps over a decade. VC funded companies normally lose money so they can grow faster.
Once you're making money, yeah that's kind of a big sucking hole you want to deal with. But that's a political issue that other EU members states have with Ireland (and Luxembourg, and the Netherlands).
Certainly, tax is not the reason there are no Google competitors from France.