I think this is more of an Outlook problem than an Exchange Online issue.
I have created a shared mailbox, and I am now trying to add it to users computers. I have successfully added it to two systems. The 3rd system wont allow me to add additional mailboxes to the users Exchange Online account (even though the account is set to default). I read that the account must be default in order to add additional mailboxes. However, I am able to add additional mailboxes to her secondary (non Exchange Online exchange account), which is NOT primary. Any suggestions on how to resolve this? The 'add' box is grayed out. I don't like the 'did you create a new profile' suggestion I always see when Googling for a solution. There MUST be a better option than that. Also note, I DID create a new profile, and added JUST my Exchange account (which I can add an additional mail box too on my computer), but on this users computer, the 'add' button is still grayed out when trying to add the mailbox.
So I am able to add an additional mailbox to a non default, non Exchange Online account, but not to the default Exchange Online account or a single Exchange Online account in a new profile.
Any tips?