I think Apple has enough lawyers advising them that most likely this is poor/fuzzy reporting and we shouldn’t jump to conclusions about the specifics of how this will all work from external reporting of rumors.
EU law applies to residents, not citizens. You don't get to avoid other EU regulations because you're a turk living in france, just like you don't have to follow it just because you're a french person living in turkey.
DMCA is a US law also, GDPR, working time directive, or something would have probably been a better example to go with.
I'm not sure that's going to fly. My understanding is that the DMA, like the DMCA, applies to EU citizens wherever they happen to be.