Yes, more thrust (greater EPR) for a given weight will accelerate the airplane to V1 more rapidly, so in that regard it is a quicker liftoff in less distance than is the case at the minimum allowed EPR (assumed temperature method). However, if he is that bothered by the prevailing conditions, he should be using max thrust and considering a bleeds off takeoff as well, maybe with a greater flap setting to alleviate the effects of the rough runway. More flap = lower V1 and faster acceleration to that V1, less distance on runway, but suffers a climb penalty after takeoff and a longer 3rd segment.
If the company has some SOP like you describe, it should be in your FCOM and everyone should know it and use it.
It should not be his place to just dream up some pet procedure and force it on you.