The experience with other industries like cars (specially EV) shows that the ability of EU regulators to shape global and home markets is a lot more limited than they like to think.
So I disagree, probably Europe will be even more behind in ev if they doesn't push eu manufacturers to invest so heavily in the industry.
You can se for example than for legacy manufacturers the only ones in the top ten are Europeans being 3 out of 10 companies, not Japanese or Korean for example, and in Europe Volkswagen already overtake Tesla in sales Q1 for example and Audi isn't that much away also.