Unfortunately there's no simple answer. The "hoop stress" on a rim, or the force spreading the tire flanges, is proportional to the tire's width times the pressure. At the same pressure a wider tire will stress the rim more than a narrower one.
Tim companies balance strength safety margin against weight in their designs. They're aware of what tire pressures are used, but must make an assumption about which tire will be mounted. Not speaking directly for these or any particular rims, but I'd expect the rims to have no problem with a 120psi tire in a width within the recommended range, or less than twice the rims width.
The folks who have problems are those who mount large section HP tires on narrow rims intended for racing.
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