Using classic Outlook for Windows in business environments
Okay so I did this and it seems to have fixed it for me. I use 365 too and this issue has been driving me bonkers.
When I set up 365 I added four accounts. Added their passwords etc.
I had already unchecked the 'when a reply modifies the original" and it didn't fix it.
I went to File>Account Settings>server settings for each account and found I had to-for some unknown reason- re-provide all my account approvals/passwords.
I then went to File>Account Name and Sync Settings> and UNCHECKED "Purge items when switching folders online"
On the same screen, I have "Mark items for deletion but don't move them automatically" checked.
I had previously checked and unchecked every other setting I had to no avail.
However on sending myself an email using the above combo-I was now able to archive, move, delete or move it about with no issue.
I am still showing all my labelled/categorised emails set up in Gmail web with no issue.
I then went to have a celebratory coffee, using choice words under my breath.