Pitch is a distance, not a quality
Pixel pitch is the centre-to-centre spacing between adjacent pixels, in millimetres. It is not a measure of how good a wall is. It is a measure of how close you can stand before the image stops being an image and becomes a grid of dots.
The industry sells pitch as a quality ladder — finer is better, pay more. That is only true if somebody is standing close enough for it to matter. A P1.2 wall viewed at fifteen metres and a P4 wall viewed at fifteen metres look identical, because the eye cannot resolve either. One of them costs six times as much.
Specify pitch from the seating plan, not from the budget.