If anything Jose may be helping out both the team and Rosario in the end. Cleveland isn't going to just dump Rosario and with endorsements from JRam and Tito, maybe it will help Cleveland get a better return on trade and/or get Rosario better money when/if he does get to Free Agency. The players are okay with Rosario staying and Cleveland's FO isn't one to hurt chemistry if they can help it. If they keep Rosario, I feel like it's because they couldn't get the deal they wanted for him. They have what they want for him in mind, so if no team reaches it, they will keep him. They don't gotta trade him...
On paper I want to move him because I want to get Brennan, Freeman, etc the chance to get a roster spot. I feel like both of those guys can put up similar numbers with the bat if they play everyday...