Based on what? What theoretical advantage might there be?
No - the smaller the radius of the tip's curvature the closer to the center of the shaft the strike will be, but that has nothing to do with tip diameter.
Here's a drawing that might help to visualize why:
View attachment 76642
This drawing shows which part of the tip hits the cue ball at the the miscue limit (30 degrees from centerball). When the tip and cue ball touch 30 degrees from the cue ball's center, they're also touching 30 degrees from the
tip's center - it's the only way two curved surfaces can touch (just like a cue ball and object ball). And if two tips are the same curvature, then the point on their surfaces that's 30 degrees from center is exactly the same distance from center for each. It doesn't matter how wide the two tips are overall, as long at both are wide enough to have at least 30 degrees of arc per side (the miscue limit on a cue ball). You can see from this drawing that even my teenytiny 10mm tip has 30 degrees per side.
Any "extra" tip (beyond 30 degrees from center) is wasted tip width, because it will never touch the cue ball except on a miscue - so any tip over about 10mm wide is wider than you need for pool (unless the shaft's structural differences matter to you). Wide tips and narrow tips both hit the balls with the same part of the tip (the middle) and the bigger one doesn't use the "extra" part of the tip at all -
in effect, we all play with the 10mm tips that are contained within our wider tips.
pj
chgo