Not how it works. Lets assume Cotric was om $650 at Dogs.
Dogs say to Cotric, "if you find a deal we will let you go and we are willing to chip in a max $150Kpa". Dogs dont care (or as you correctly say, have no input into) where he goes.
Tigers say we will pay you $400K pa. Canberra says we will pay you $500K pa. He goes to Canberra. I obviously dont know the actual figures, my point is that Dogs would have no input other than the max that they are going to chip in, after which whichever club pays the most is where he goes unless Nic cops a pay cut.
There is no pay cut in this for Cotric. His 650k deal for the next two years is LOCKED in. You've got rocks in your head if you think he's leaving a cent of that deal on the table.
His 650k is getting paid by someone. He and agent dont care how that's split up between the two clubs. That's cap business, but his 650k is locked in.
So now it's tigers or the raiders. But even if the Tigers were offering 500k vs 400k (and yes we're just making the figures up here), if Nic Cotric doesnt want to play there, they're out. It's over. The dogs can't do a deal with them. The Tigers could offer 500k, or 600k or even 650k... it doesnt matter. If Cotric doesnt agree to the move, it's can't get done and media reports suggest he made it clear he didn't want to play for the tigers. So if that's correct, the tigers are simply not even a part of the equation anymore. They're a non factor.
When Cotric says he wants to go back to the Raiders, the bulldogs are in a VERY TOUGH spot because they are negotiating from a supremely weak position of ONLY being able to negotiate with Canberra.
So now it's between the Raiders and the Dogs to come up with a deal on who's paying what. And the Dogs can say they'll only pay 150k pa max, but everyone, including the Raiders know, they have other deals contingent on moving Cotric on. And they're paying him right now, the longer the negotiations go on, the more the dogs lose and maybe other deals fall through? Point is the only recourse the dogs have is to threaten to keep Cotric under his current contract at the bulldogs... which is as weak a threat as you could offer given how public they've been about wanting to move him on. No one would believe them if they said they'd just keep him.
It maybe that the raiders were happy with 150k or less! Or more? That we don't know that, though i suspect it will leak in the coming days. What we do know is Nic Cotric is getting paid his money and the power virtually rests solely with him to decide where he wants to play, and thus who the bulldogs can do a deal with.