In short, everything stays exactly the same, this is how they run things in Europe and many other places all over the world. Only now they found a convenient shield to hide behind, even if the EU does genuinely create hurdles for them at times.
My dates may not be entirely accurate, and they cover only portions of the EU—many other countries worldwide are still waiting:
Apple Pay - US 2014 - wider EU rollout 2019
Apple News+ - US 2019 - EU TBD
Apple Sports - US 2024 - EU TBD
Apple Cash - US 2017 - EU TBD
Apple Fitness+ - US 2020 - wider EU release year later (still not available in many countries even just in English/other major languages)
Apple Intelligence - US 2024 - EU 2025, this one I partially get. They have to provide EU citizens with privacy assurances
Feel free to correct me on the dates