My partner and I have had similar experience with windu's perspective... with a heavier car its skidding less
imo, i think it has more to do with the distribution rather than the total mass.
Define the chances of skidding as the distance required to brake (because if anyone really wanted to, they could always brake way earlier obv)
so lets do some quick maths
As you can see, the work required to stop the vehicle as well as the braking force that can be applied vary directly with the mass of the vehicle, so in theory, it would just cancel out and mass would not play a role.
HOWEVER, this is with disregard to the acceleration of the car at the beginning. Now, one may argue that the power to weight ratio on lighter cars will allow it to accelerate quicker than a heavier car. Its just Newton's second law. Yet, there is a necessity for a significant downforce on our cars as they are really light for the speeds they are moving at, and thus, the grip advantage provided by distributing weight on the drive axle will provide that downforce needed to accelerate efficiently. Its all about balance
But at the same time, on such a small scale, none of this really matters imo. But more mass is certainly safer, because with that downforce, your chances of skidding are less even if your speed is decreasing (especially with varying coeff. of friction on different floors, you never know)
So, I would just go with personal experience and experiment stuff that works well for your car