The wider the basket the shallower the basket, unless it be oversized to permit a larger dose, as many are; less force is required to compact a shallow column than a tall column of coffee. When you compress the grinds, the compacting is tightest near the tamper surface; the grind in the basket gets gradually looser the farther you 'descend' into the puck. And so the depth of the basket and the shape of the coffee column (cylindrical, or one of the conical variations) would affect the quality of the tamp as much as if not more than the diameter of the basket.
Illy remarks that the difference between no tamp at all and even a light levelling tamp is major, but that there are only minor differences between 20 pounds and 40 pounds and you don't start to see major changes again as tamping force increases until you reach ~80 pounds.
I have found the following things to be far more important than nuances in tamping force; nuances in these factors do have major effects:

grind taking into account the age of the roasted bean and humidity etc

dose

the shape of the basket (especially the height-to-width ratio of the puck)

the effective egress as defined by the basket's filter

preinfusion method and duration
A proper preinfusion should reach the grind down near the filter so that this section of the puck expands because of the
hydrostatic pressure and presses tightly against the filter wall, which will help prevent channeling.
Regards
Timo