Yeah, there is zero "fuss" going on here.
But I also think it's inherently against a players' interests most times to file for arbitration. Fewer than 10% of eligible players file, for good reason. And that reason is that the ideal resolution to these situations is for a player and team to want to work together to mutual benefit, and to negotiate a fair market contract in the first place. And the vast majority of time, that happens.
Handing the process over to an independent arbitrator indicates that the process was broken. Perhaps the player wants too much, perhaps the team is offering too little, both of those things are a matter of subjective perception, but either way if that happens something has gone wrong. One side or the other has been aggrieved by the negotiation process to that point, and the longer term future union of the two parties is placed at some degree of risk because at the end of the arbitration path only a 1- or 2-year contract is chosen.
Of course you can say that the players who file may have no ultimate intention of going all the way through to a hearing, and that filing is merely a tool to add urgency to negotiations so that both sides reach a contract agreement, possibly even a long-term one, before the hearing. For most players who file, that's what happens. And yet, the vast majority of restricted free agency cases are resolved without ever even starting down that path.