I tend to speak in terms of controller amperage, rather than "rated wattage" on controllers. Some vendors rate a 72v 40 amps controller 1500w, others 3000. No real consistency, just like battery vendors that some sell nominal voltage, others spec max charge voltage.
For the case of 72v 40 amps controllers running these generic 9c, golden, conhis, muxus, etc type motors.... To be specific, I mean the 28mm rotors.
Can you melt it? Hell yeah!!! Must it melt? Hell no!! On a dirt trail, or a racetrack, or practicing for racing, I've melted several, and on other occasions gotten them really crazy hot.
Riding "normally" in traffic, I doubt you'd ever melt one in 10 miles. But I find longer rides than 10 miles are often the cause of melt downs. It just all depends on how much throttle you are using on those starts. Go easy on the throttle, pull 2000w max, and you can easily keep your cool. Make every start a wide open throttle drag race start, and you will heat er up. Weather has an effect too, I don't try to run hard in the hottest part of summer. I run a 1500w controller then.
These motors are not made for, nor rated for 3000w, But you can get away with 3000 w for awhile.

8)
After you melt a few motors, you do learn to have a thermometer inside them if you run them hard. Then you know when to stop or at least back off. Drilling lots of big vent holes in the side covers is also proven to help. There is about 10,000 pages of discussion of both motor cooling and temp monitoring here on ES.