well to an extent, it does, but its nowhere near as significant as width or length (especially), in my experience.
i had the opportunity with the last two swells to ride a variety of 70’s original and modern 70’s influenced single fins, and some 80’s thrusters, at rincon and various other waves. the boards in the 2 5/8 to 3 1/8 range in thickness trimmed better, were impossible for me to duckdive, and didn’t catch waves any earlier or paddle any quicker then boards around 2.5 thick. i think the magic numbers for me are from 2 3/8 to 2 5/8, any more and it just isnt doing anything for me. no advantage and when i get going really really fast and im plaining way above the water, its hard to really bury a rail that thick.
just thought id share MY new found, emperrical knowledge within my own realm of design. maybe some of you have had different experiences.