It's funny, we push the idea of the pump so much, and it feels so good, but ultimately the pump is counterproductive to strength. When we rock climb, the pump is our worst enemy.
A central idea of HIT training, and advocates of it like Yates and Mentzer, is that the pump is meaningless in regards to growth. One of the advantages of HIT training is you don't get that pumped on your first exercise so you are much stronger for your 2nd and so on.
I personally like to take a middle road, where I go for strength not pump on the first 1-2 exercises, then finish with an exercise I push the pump on (I like to add in a range of motion exercise at the very end after this sometimes nowadays, got this from JM).
When I made my best gains in my 20s training pure Yates style, I gave zero shits about the pump and even avoided it. My experience rock climbing the and negative effect of the pump there reinforced what I read from Mentzer and Yates and they seemed to be correct for the most part.
Damn it feels good though!