Even though it's the same app and ID, there is a bit of a difference between the company ID tied to my digital ID and my private digital ID. You can get a physical code thingie instead of the phone app for private use. To be honest though, the primary reason I have a smartphone is that it's annoying if you don't. Banking, contacting the doctor, buying medicine, dealing with your childrens school, going to the library and so on are all super annoying without apps, and you can't get them without Google Play or Apple.
I agree it's annoying, and even though I have a smartphone, I'm annoyed. My kids' school uses a tool that has a web UI but I wonder how long that will last.