While it's true Europe might not be producing the next Apple or Google, there are lots of alternatives, like national academic login systems, logging into third parties with bank credentials or government IDs... Solutions that depend less on one commercial company capturing the market, that are in place on a national level and work well. It's a different landscape. Factors like current day political turmoil make people much less trusting of "American" solutions. It remains to be seen if this goes beyond sentiment into some actual pan-European solutions that (claim to) safeguard privacy and data.
the problem is - these don't work unless everyone uses them worldwide.
What about non EU users? Americans don't second guess themselves when they slap google/apple/meta sign in only. They know everyone in the world will never pause when they see their logo on the buttons. To reach this scale of worldwide adoption for a European service requires a massive amount of investment.
What's even the entry point? Google and Apple make the devices that everyone uses. Even if you build a service like you suggested, how do you ensure that everyone is using it?