The other sources produce less because they can. Since nuclear has a high capital cost and low variable cost it bids low.
Energy prices can be negative when there's not enough load but too much supply. Not every power source can be just switched off.
The person I responded to claimed that nuclear plants run at close to 100% because they bid low because the marginal cost of their electricity production is low, but the same is true for renewables like wind and solar. Yet these renewables run at much lower utilization rates - because of weather and daylight cycle, not "because they can", except in rare cases of negative prices as you mentioned.