Sure, all other things being equal, and assuming that static friction is all you have to worry about.
In reality though this is more about “traction” then friction, right?
If he has poor contact between the rubber feet and whatever random irregular not flat surface it is placed on then bigger feet will offer more traction.
Trying to control all the possible real world variables would give me a headache.
And then someone goes and spills a beer, and it is all for naught anyway. 
