Except perhaps for people living near the border in Northern Ireland, "going to the EU" for warranty work is a completely unfeasible suggestion. It's not exactly a short or cheap journey for most of us!
Though will Apple blink is still unknown. Just because they can doesn't mean they will.
If Apple really has the guts to stare this one down, then I would expect it's the government who blinks.
It says that by train it is about 90 minutes each way and would cost about the same as the car trip.
Not sure it would be worth it though, unless you are in Northern Ireland. If you are someplace more like London it would be a lot faster to go to the nearest Apple Store in France and a lot cheaper.
In the US.