A front car tyre (e.g. VW Golf) may carry close to 400 kg, which at a tyre pressure of 2.3 bar (33 PSI) produces a contact patch in the region of 170 cm squared or 340 cm squared for the two front tyres.
A bicycle’s rear tyre may have 50 kg on it, which at a tyre pressure of 8 bar (116 PSI) produces a contact patch of about 6.1 cm squared.
The car may routinely pump 50 horsepower into those 340 cm squared while the cyclist may routinely pump bursts of 2 horsepower into 6.1 cm squared and furthermore at much lower speed than the car (i.e. much higher relative tractive force). You can see it is the bicycle tyre that is the more stressed by these tractive forces.
That is borne out in my practice. Spinning my car wheels is rare, whereas I often momentarily lose traction at the rear wheel while pedalling up steep hills, especially in the wet.
The other thing that really wears a tyre is braking, where you have the opposite effect to that of pedalling.
While true, braking (rear-wheel skidding aside) doesn’t cause much wear much in practice because we do so little of it.
If weight, why should that actually make any difference to the amount of wear?
I think it must make some difference because there is always some scrubbing as the tyre’s torus-shaped tread is forced flat against the road at the contact patch, and a heavier cyclist must have either higher pressure (i.e. greater friction in that scrubbing) or a larger contact patch (i.e. more distortion and localised tread slip when flattening the torus). However I agree this causes minimal wear compared to tractive forces. It must, given observed tyre wear.