i would think 'asleep' or 'doing something else' would be a reasonable answer
His last post was 5 hours ago.
You can still go online while banned.
This is common knowledge.
This post was made 6 hours ago. 6 hours ago + 5 hours ago = Their last post was 11 hours ago.
From kurosama's profile she is in the mountain time zone of USA. UTC-7 or whatever. So this post is being made at 3:30 AM EST, it is 1:30 AM her time. 11 hours ago in her local time was 2:30 PM yesterday.
She could've still been doing something else though but its likely she was ban