Well, take my view with a grain of salt as I'm simply a hobbyist.
But, in my opinion it varies from person to person. Some people say they feel it more with chinups, some more with pullups, etc. If you can do 7-8 neutral grip pullups but only 3 regular pullups for example, you'll likely get more back development with the neutral grip pullups for the time being. Most important is to puff your chest out , lean back a bit (don't overextend your lumbar region though), and look up. Progress through those, start adding weight to them. Try out regular grip pullups every once in a while again and see if they improve.
I know "they say" regular pullups are the best, but for me it doesn't work that way. Partially because of a rotator cuff injury (well, maybe entirely because of that). I feel it all in my arms, specifically elbows (which would be exactly what you don't want) with regular pullups.
Imagine something is in front of you and you want to pull it through your torso, or something you need to grab onto and pull by dragging, what grip do you imagine yourself grabbing with and yanking? Or try putting your elbows at 90 degrees, facing your hands forwards, and pull your elbows behind you (like the top position of a bent over row). While in this position you should easily feel your shoulder blades pressed together. While holding it, rotates your wrists from underhand, to neutral, to overhand. Feel the differences there?
The back is going to move the elbows back regardless of how the wrist is rotated, the trick is to find the wrist position that your back feels comfortable to pull from, otherwise you'll end up focusing too much on closing your elbows instead of closing your armpits.