I had a lot of time during the weekend, logged in early and played through the entire day.. But yeah logging in afternoon, evenings on Odin for example is hard with the 2002 error.
BUT lets be honest. The team explained the entire situation to us, they did what they could behind the scenes. Sure Blizzard and WoW left a mark on this launch with all the players joining from WoW which is, by any means, not a bad thing for FFXIV. But with corona and the server material prices shooting through the roof (i dont have sources, just trusting what the team said to us) its incredibly hard to manage imho.

Give it 2 or 3 weeks maybe a little longer then it should normalize.

Hang tight fellow warriors of light, we'll get through this together!

Edit: Once i was in though, i NEVER got booted. Not even once. So that is a great thing per se.