1) this means it's not the peak max current they could drain ?
yes, this is minimum current for the case when there is no load on the motor (idling mode)
37 motors will consume 10V 37A in the best case
2) Correct me if I'm wrong but in the worst scenario I should consume 10V if they're all 10V and 12 up to 37 times 1A if they're all 1A ? Which leads to a PSU pushing 37A at 10V ?
No. Max power is specified as 2800W and 57A. It means about 2800/57 = 49V.
At worst case, for 37 motors, you will need 50V 2109A power supply. This is about 106 kW power.
3) Why do I usually see high Voltage capacity PSU but never above 10~12A ?
Because 10-12A is a high current. If you needs more Ampers, it turns dangerous and requires dedicated power supply. This is dangerous, because current more than 20 Amps can make fire and can damage circuit and PCB. So it needs special care, special wires and special equipment. Because usual wires and circuit is not intended for so high power.
37 motors will require more than 100 kW power. This is too much and such power is very unsafe, it can make high fire and high damage and can kill you easily despite the low voltage. It can kill people or make serious injury with high temperature, fire and high mechanical force.