He is right, you are just ignorant/wrong.
Statics state:
Friction = Coefficient of friction * Normal force
Force(weight of car) / area of contact = Lets say x(psi)
The simplest way to look at this it to take a 1 square inch of surface.
The psi of the smaller tire will be larger than the bigger tire due to Area being smaller.
The normal force will be the equal and opposite of the force on the 1 square inch of surface.
The bigger normal force(smaller tire) will have more static friction. Once you break traction you start to look at something totally different (more factors) so in theory he is right.
Statics state:
Friction = Coefficient of friction * Normal force
Force(weight of car) / area of contact = Lets say x(psi)
The simplest way to look at this it to take a 1 square inch of surface.
The psi of the smaller tire will be larger than the bigger tire due to Area being smaller.
The normal force will be the equal and opposite of the force on the 1 square inch of surface.
The bigger normal force(smaller tire) will have more static friction. Once you break traction you start to look at something totally different (more factors) so in theory he is right.