> I expect at some point the EU digital ID will be required to use when accessing the internet or perhaps when signing up for email, creating a Twitter account and such.
I'm not going into the debate about whether there's an ulterior motive, but current eID solutions in various EU countries are considerably less draconian than what you're describing. The current solutions are going to tie into the new one, after all.
In Finland, as an example, we simply have a chip with a cert/key on ID cards. People without card readers or who don't want to use them are free to use their netbanking logins instead. Being able to use the same solution in other EU countries is of rather limited value to most, but it will ease up paperwork submission when travelling, moving to another member state, and so on.