Do the major boxing authorities want all their belts held by the same fighter?

I think it depends on the champion. If the purses are big and frequent enough who cares? That's why Canelo can always find a unification fight.

But in the general case, there are fewer mandatories for a unified champ (compared to multiple single belt champs) and that cuts down on the fees from the guys trying to become mandatory.

For instance you can see that in the WW division, which a few years ago was pretty active. It ground to a halt once three belts ended up unified by a guy who isn't really active anymore.

 

Once a fighter already holds their belt, whether that champ is or isn't unified is of no concern to any of the alphabets. They still get their sanctioning fees either way.

In a general sense would each org love if all the fighters that held only a rival org's belt pushed to become unified? Of course they would, that is capitalism 101. Additional revenue stream, more sanctioning fees - why the hell not?

I don't believe they're out actively recruiting, like the WBC isn't sliding into an IBF champ's DM's to say "hey zaddy, wouldn't you like to add this nice green strap to your collection? It would look rather dashing on you, draped across that other shoulder " and there may even be legal reasons they can't do that; I'm unclear - but they are certainly not actively opposed to unification and probably are quietly delighted when rival org titlists from whom they're not already collecting talk about it.

 

Only if they can make money off it

Ibf pretty much stripped Fury and sold his belt to AJ