Quite the contrary. It was discussed in the road forums about a year ago (and probably before then as well), and running too narrow of a tire actually makes it compress too much. Your weight will require about the same surface area per air pressure, but a wide and short contact patch (wide tire) will require less deformation of the tire shape than that of a narrow and long patch (narrow tire). Aside from that, getting pinch flats because the tire can't handle absorb impact will slow you down much more.