I have a cat I sometimes have to go
I say "got to go " and log out
If you suddenly get called away, but you could be back in a half a minute (literally), you just log out?
Again, sometimes you get called away and you can only go "brb!" before HAVING TO LEAVE. I had that once. Nephew (who is a baby) was crawling toward something he wasn't supposed to be in/could pull over onto himself. So I go "Brb!" and run to prevent trouble. Literally had no time to hit esc and log out.
So, even though I managed to deal with it quickly and get back before too long, according to your method I should be banned for 3 months. (When I got back, which was only a few minutes later, somebody apparently had ragequit despite my very clear warnings early on that I could have to run brb)