Launcher won't start

[Strahotski]

This is now persisting again, these same 10105, 2002, 90002, and fail to complete version check.

I've been getting the same errors since yesterday. In addition to those errors, sometimes the "News" section of the launcher will not load, displaying just a "network error" message instead.
I did manage to log in a couple of times through sheer persistence, but got disconnected shortly afterwards.

This is happening both on my desktop PC and laptop, which makes the corrupted data hypothesis extremely unlikely.

I have tried all the steps above (internet settings, firewall settings, run as admin, cleaning the FFXIV data folder, etc) and nothing worked.

EDIT: Since 07-13-2020 night, this seems to have been fixed. I can log in normally again, and didn't change anything else on my end.