if you think for one minute that FB isn't going to be able to link this back to your personal FB account you're a fool
I think the point of making it a completely separate account is to ease companies fears of users getting sucked into the endless scroll vortex while at work, and I would doubt they'd be jumping you back and forth and showing you notifications from personal/work Facebook when logged into either service. It would also be an obvious security/privacy issue if project info was popping up in users personal notifications.
Whether or not they are going to link the accounts on the backend for their data mining purposes, was not the intent or subject I was addressing/speculating about.