Perhaps, but when has public pressure ever been a factor in DoPS decisions? They are bound by actual rules and don't have the leeway to make things up on the fly based on perception. All decisions (especially in terms of forfeiture of salary) must be legally justifiable, or else appeals and lawsuits occur.
At the end of the day, they released a statement that can be easily dismissed as an emotional one and therefore not a rational one. Not one person is going to have their mind changed by this. The Rangers being "big mad" at the decision would have been fully expected when the decision was made.
Meanwhile, if they went public with a well-put together argument for why the decision was indefensible based on the rules and previous interpretations, then the NHL would have to scramble and do damage control. You can't keep Parros once he has been clearly shown to be incompetent.