I've read your posts about experiencing this before, and it seems I'm not alone.

I've been intentionally inactive for almost 24 hours. The page
https://bitcointalk.org/myips.php only records two IP logs per day (on my end). Yesterday, it recorded one of my IPs, and I was hoping there would be another strange IP recorded on the same date.
But there wasn't. The cause of this remains a mystery, but I don't think it's a serious issue anymore after seeing that your accounts are fine.
Another thing, modern browsers generally have a "sync" feature which syncs sessions between computers. It might be that something related to this has gone wayward. Do you have that feature enabled?
No, I never synced anything; I use a different Chrome (Gmail) account, as explained earlier.
When you click "Always stay logged in", it creates a session cookie that is valid for 1 year. So you could still get logged out after 1 year even if you haven't physically logged out yourself.
Yours makes more sense. iirc If I choose to always stay logged in, I'll see a large number in the "Minutes to stay logged in:" field after clicking login. This is probably the conclusion:
Always stay logged in = stay logged in for a next year