I do it with my ID because I've conditioned myself to check for it everytime I'm going to move places, or rather, check for my wallet, which usually has my ID inside it, but has burned me on a couple of ocassions
Also, some people do keep their ID on their phones, either directly on the back of the case (I've seen it more on young women, maybe because lack of pockets) or with something like a magnetic wallet
Louisiana has digital ID, I don't use it but my wife does and it seems to work OK. I think you can have your phone locked with the ID up, which is the only way I'd consider using it, anyhow.
Its been a while since I've heard any issues with it. I prefer the physical card still.
Also, some people do keep their ID on their phones, either directly on the back of the case (I've seen it more on young women, maybe because lack of pockets) or with something like a magnetic wallet