in short, no. However, on the basis that it is the rubber that connects the vehicle to the track surface and not the air in the tread, and assuming that the wheeel travels without slippage it should be directly related to the actual tyre footprint, less the tread pattern.
Just my 2c
There are so many tire variables that while you can ratio the footprint difference easily you cannot allow for the harder compounds nessasary for grooved tires, due to tread sqirm from the grooves. That is where the grooved tires realy slow things down .. in theory anyway. Compounding has changed so much that this difference might not be such a big deal unless you were to compare grooved tires to qualifier tires.
