I don't think Warren has any control over Fury at all, Warren was adamant (at the presser before Furys last fight) that he would 100% take it slow and he needed 4 fights minimum just to get back in the mix and now talk of a Wilder fight after 1 "competitive" fight which might turn out to be another circus fight.
I've never known Warren to rush any of his fighters in the past 30 odd years.
Fury knows full well that Warren/BT were desperate for a face to spearhead the new tv deal and is clearly the one calling the shots in this deal.