It only sucks if you come from somewhere else not in EU. Even then operators (iirc at least Vodafone) offer remote verification of documents over a video call, so it's not as painful as it might seem to be. I don't see how eSIM would make this easier, since the main pain point of verifying your identity will remain.
Next time I'll just do roaming on a prepaid card from my home country, unfortunately my current provider doesn't support roaming in Germany.
I then installed Airalo app and bought an eSim in five minutes, still at home. Once I landed, I had 4G service for a week.
On my trip, I was never asked for my (German?) phone number but had received multiple SMS verification codes to my regular line.
Your experience may naturally be different.
Plenty of countries don't allow no-locals to buy a sim or don't allow them to by a "good" sim so you get a local to buy a sim and then they give you the sim. Not going to work for eSim.
I also used to keep an extra sim for friends visiting. Can't do that with an eSim
It also sells one for my country, so my friends visiting can buy it from them, so I don't need to keep an extra SIM.
So, no, airalo is not an example of why eSims are good
If you're traveling you sometimes need to show your passport and fill out forms in a foreign language (looking at you, Germany). Adding eSIM is a lot easier, and will let you keep your regular phone connected when someone rings you (which is not happening a lot lately) or sends you a code via SMS.
There are many reasons to keep SIM cards but traveling is not one of them.