There is no politics, i was just posting the official EASA information. It helps reading their brexit page.
Some NAAs do accept the exams, although EASA rules are very clear and do allow that only for student pilots in an integrated (not modular) program. They might be open to legal challenges, although that is very unlikely.
And no, of course EASA does not have the ability to change primary legislation. Third country license approval, and yes, sadly that is the legal status no matter what happened before, requires at least a Commission Directive like the one i linked above which was actually updated to deal specifically with Brexit in late 2020. That is simply EU rules 101.
The politics part is if there are any negotiations. And no, currently there are no negotiations in that area and there is no desire in the EU to do so as there is no pressing demand from either side, no matter how hard that might hit individuals.