All of the information you have provided seems to be in order.

In all attempts to reproduce your scenario have come up with no answers on my end.

This is what i have done:

Using a laptop, Configured an Exchange account profile to my work exchange account.

Within the same profile, connected 2 POP accounts and 2 POP SMTP accounts. The SMTP are for me to use email alias i have configured.

Attempted to Disconnected the Exchange account. This could not be done without removing internet connectivity. So i selected "Work Offline".

This disabled the Exchange Account and the POP accounts as well.

See if you can toggle the work offline feature to see if your Outlook reverted to an Offline state after you leave your office.

Keep me posted,