Slanting the pickups DOES change the tone of your instrument. Since tone is a subjective topic, the obvious thing to do is to try the instrument before guessing.
From the engineering stanp point: Strings vibrate when plucked and the vibration amplitude depends in several factors (gage, construction, strenght of pluck, etc.). A perpendicular pickup coil captures that amplitude and coverts it into an electric signal. An angled pickup coil captures a longer portion of the amplitude due to geometry and sends a different electric signal. I suppose this is more evident on a bass B string than a guitar D sring for example, due to the vibration amplitude.