Since way back in the 90s, everytime I stayed somewhere for longer than a week (or I really really needed mobile data) I would simply buy a local pay-as-you-go SIM for it.
This has been made even simpler to do with the advent of dual SIM phones were you can have a SIM for calls with your personal phone number and a different SIM for data.
Further, here in the EU ever since they passed some legislation some years ago, mobile operators can't charge extra for roaming within the EU so none of that is even needed anymore if you're just travelling withing the EU.
What exactly is the great advantage of eSIMs if you have a dual SIM phone?!