Mass does have an effect on constant velocity and ancilliary to that efficiency of any drive system. Unless, of course, you have steel tires that are perfectly non-deformable and relatively low friction (a train for instance), and even then mass will still influence it, although to a much lesser extent.
The whole purpose of downforce in any form of racing is to increase the "mass" of a vehicle to increase friction and resistence where the tires contact the road.
You can't have increased resistance to forces perpendicular to the direction of the car without it also affect the rolling resistence of the car. IE - any additional benefit you get for corner is also going to increase rolling resistence and act as a breaking agent.
Just take the Bugatti or any of the supercars designed purely for high speed. The will retract or ditch having any sort of spoiler to reduce downforce (thus reduce the perceived mass of a vehicle) in order to reduce rolling resistence to increase top speed.
BTW - if you uncomfortable with the use of mass, just exchange it for weight which would be more accurate.
Regards,
SB