Of course somebody getting paid to write for the show would fire themselves because hey, the Star Trek fans entertainment is more important than them having food on the table for their wives and children.
Seriously, have we grown that selfish?
Not only the writers need food on the table for their families. Actors need that too. Now that can be difficult if actors are fired because the writers can't do their job (or are ordered not to do their job).
Oh heck let's just forget about television and turn Star Trek into a series of plays about our glorious comrades in space.