It sounds like there may be some confusion here about steady-state pressure drop versus transient pressure variations.
NPSHR is a value describing a minimum suction head needed during steady-state operation.
Your questions discuss startup of a pump. This is a transient event. As bimr says, the pressure wave will travel quickly up the pipe as the pump starts. Over short distances, you might not notice the time it takes. Over long distance (not typical practice for a suction line) it's much more noticeable. This transient pressure variation is typically non-linear with position along the pipe.
Linear or non-linear pressure variation in steady state is related to piping configuration and fluid properties. It's possible that you would get a linear pressure variation along the pipe length if the pipe is straight, has no size changes, and has no pressure reducing features.