Nah there's literally no reason geopolitically or economically to do that for Europe. The US has more or less entirely botched everything except it's military applications for AI. It's endangering the whole economy in the process too.
Not for the same reasons (such as the direct propaganda I expect from the Trump government), but if there is a precedent I can definitely see propositions to have some sort of regulator vet models before release to protect young people or similar
Chat control also failed. There's a lot of hope still.
The thing goes both ways. They have to secure their people from Russian and American propaganda that will be coming by the petabyte once a few more us data centers go online. The US is trying to elect fascists in Europe.
At the same time it's a terrible practice for privacy and human rights. Especially in the wrong hands.
