It's a preliminary injunction (TROs only last 14 days). It might carry persuasive weight, but it wouldn't be precedential. That said, I'm inclined to say it would raise judicial hackles if the case was dismissed for mootness and Baker did it again during this pandemic, even if it ended up with a different judge that's more anti-2A.
Judges really don't like people questioning the authority of the judiciary or "judge shopping", and that would likely trump the judge's individual beliefs on the case. Their attitude would be, you had a federal district court tell you you violated citizens' constitutional rights, you changed your behavior to moot the case, then you did it again?!