I correct what I said before (I checked and I made a small mistake): if you activate the PLUS ADDRESSING you can also leave all the emails in the INBOX (see image below).
You can then set a rule in the user to move them to the folder you want based on the content.
Gabriele Maoret - Head of SysAdmins at SERSIS
Currently manages 6 SmarterMail installations (1 in the cloud for SERSIS which provides services to a few hundred third-party email domains + 5 on-premise for customers who prefer to have their mail server in-house)