My colleague had a very hard time moving her European esim (Play) from one iphone to another, because by then she moved from the city where she registered it initially. She had to come back in person and even then it only worked after a second visit, because she had to bring basically all her documents to verify her identity to the operator.

Meanwhile I just swapped boring old plastic card in a minute, while staying at home. I will stay away from esim for a while, maybe processes will mature in a few more years. At least until dual-sim phones are available.