Ahahaha, that's so funny I forgot to laugh.
But really, what's wrong with a guy from France liking Earl Grey and Shakespeare?
There's nothing wrong with it, I'm sure there are French people right now who like Earl Grey and Shakespeare. But there's so little frenchness in Picard that the question why the character wasn't simply made British is valid.
Now I don't mind Picard speaking British english, British English is actually what the vast majority of europeans learn in school so it makes sense but everything else? He's a british english speaking, earl grey drinking, shakespeare reading, british sandwich eating, british navy song singing frenchman who constantly references british events in history like the Battle of Trafalgar. And yes, I know the french participated in that battle but Picard talks about it from a british perspective.
The problem isn't that he has some stereotypically british mannerisms and tastes, the problem is that he has zero french ones. In the first season they made a token effort to portray him as at least somewhat French by having him say "Merde" and "Maman" once each but after that it's nothing until he randomly starts speaking french to his dog decades later.
I go a bit further by saying that Europe has just gotten even closer by the 24th century. After all it's all One Earth in Star Trek times and most countries in Europe are on the smaller side, so the cultures would have bled into each other by the 24th century.
Except Picard isn't portrayed as a european man influenced by many cultures, he isn't an English speaking, Bouillabaisse eating, Schiller reading, flamenco dancing guy for example. He's just english.
Look at it from the other side, if I created a Star Trek character who speaks english with a thick french accent, wears a beret, eats baguette, drinks red wine, reads Voltaire, talks about Napoleon and then I tell you he's Ole Pedersen from Norway you'd probably think that's a weird choice. Of course I can come up with an elaborate explanation why it makes sense but it's still a weird choice.