Hello
Summary on what is known about this still existing bug
Screen captures are available here
https://forums.elderscrollsonline.com/en/discussion/674746/launcher-stuck-in-update-loop#latest
There is some confusion in the messages in the forum between two different bugs, the 'unable to load skin' bug and the 'launcher infinite loop' bug.
These are two different bugs. The 'skin' bug appeared juste after the game update 45, before the launcher bug which appeared after the launcher update following the update 45.
The 'skin' bug is encountered both by players launching the game directly, and those (as me) launching the game through the Steam client.
The bug is random. Sometimes the launcher is starting at the first try, sometimes it is needed to retry up to 10 times to pass through the bug.
The bug is present both on the US and EU servers.
Several players made in-game bug reports, or here in the forum.