"Login with X" is OAuth, not 2FA.
2FA is a great addition on top of a password per site. Neither a FIDO device nor an Authenticator app provides the site with any extra PI.
Edit: SMS would give them your phone number, but SMS is a really bad 2FA and should not be used
Tuxedo gives you the option to order their laptops with either the Tuxedo logo, a custom logo, or no logo.
I ordered the InfinityBook Pro 14 Gen7 without any logo and it looks really clean.
We had SunRay at a municipality here in Sweden where I worked at the IT department. I tought it was really cool and I had built our own "session routing" script that could connect terminals to different servers based on the smartcard ID.
Terminals in the schools connected to a school server where students could login without smartcards, but if a teacher inserted their card it would connect them to the "admin" server or to a windows VM.
I had my own server in the DC that I could then connect to from my desk using a multi-monitor SunRay terminal. At home I had a SunRay connecting in to the office with VPN. I could move between terminals by just inserting my smartcard in whichever terminal I was at.
There was even a company creating a SunRay laptop called Gobi that I tried using , but a regular laptop with the software client was a much better experience.