Wow, sounds like we are in AA now...lol!
Are we sick?

Yeah, you can experiment with limits to see how you react.
If something crazy happened like a fire or flood, and you couldn't even get on a computer, life would go on. Sometimes we have more options than we give ourselves credit for.

I have screen burn of the chess.com logo and also the light and dark squares of the board across my mobile. When I first noticed this, that's when I realised I was an addict.

I don't see the harm in playing a lot of chess. There are worst things to be addicted to.
That’s what Bobby Fischer‘s psychiatrist said to his mother. Turns out, she was right all along.
Sometimes I play until my head hurts or 3AM, that can't be good either....but it definitely a respite from the rest of reality....
When under stress we all do something like this. Staying up late isn't necessarily a problem.
But for example I once played a game 10+ hours a day for 3 or 4 days in a row. I slept maybe 3 hours a night, and ate only when I was starving. At the end of it I was so worn down I felt like I was recovering from the flu, and I thought to myself this is crazy, and got rid of the game.
Staying up to 3am could be bad, but it could also just be a normal relaxation time. But if you start feeling sick, missing school/work, ending relationships, those are danger signs.