Is there any reason we're calling it sign in with ethereum rather than sign in with insert-asymmetric-key-encryption-algorithm? Technically you're signing in with an ECDSA key-pair that just so happens to be used by Ethereum. You could swap ECDSA for any asymmetric key algorithm.

co-founder stelo.com. theoretical cs phd dropout. into math, music, ml, macro, markets, surfing, writing amandhesi.net

The goal should be to improve UX rather than call out every component of the tech stack.  It’s about the network not the specific encryption mechanism…

It was all a dream I used to read Bitcoin magazine.

https://deca.art/cryptofarian

I believe your question is rhetorical but if you have a suggestion that would make things safer and easier to use I’m open to it for sure!