And second, if I was Paramount and I found out what JJ was pulling, he'd be fired plain and simple. Working on these two movies is a conflict of interest and I, as a producer, would feel betrayed. It's about ethics. I'd even do it to Spielberg if did this to me.
This may be one reason that you're not a movie studio executive - because by the standards of the business there is no
"conflict of interest" here. None.
There's no downside for Paramount to continuing their business relationship with Bad Robot. If anything, they might worry about the company being wooed away.