It’s possible to have software, including browsers, that are not subject to the CRA.
F-droid is essentially a Netherlands-based non-profit that will follow EU law when they have to. Some, but not all, of the software they currently host will be subject to the CRA, and if F-droid wishes to continue hosting it they’ll be a distributor under the CRA and be subject to obligations that they currently do not have.
The situation today is not the situation next year, and especially not 2 years from now.
It just won't be in any Android default list.