Cool winters help mango production, right? We may no longer see cool winters.
Correct. They stimulate the trees to bloom, and the extent of that bloom will typically be what determines the final crop size, though there are other factors like fruit set and retention that can be determined by male/female flower ratio, etc.
The length and amount of time of the cool weather plays a big role. For instance, there is a major difference between say 7 days of nighttime lows below 60F as opposed to 10-14 days. And if the temperatures rise dramatically after the cold front, trees will often flush mixed panicles that contain both leaves and inflorescence, or sometimes flush some pure growth. This has happened for several seasons now.
For some varieties, this pattern could be a major problem in the long term in terms of getting consistent crops.