And a few minutes after posting the above I realised my error
I have three different Adobe IDs, two at work and one personal account. I was logging in with the wrong Adobe ID, one of my work accounts but the one that isn't the admin for our Creative Cloud membership.
Just thought it was worth posting something here in case anyone else suffers the same thing for the same reason. It was the small matter of logging in with a .net email address when it should have been the .com.
Feeling stupid now