It depends on how much torque you want. By having your controller outside of the hub your phase wires can become a limiting factor forcing you to choose a slower winding.
If the winding gets too slow the "full thermal headroom" won't matter anyway because rpm has become too slow. Adding in field weakening helps regains top speed but also adds a lot of heat.
Never been the case for me or anyone on this forum i've heard of.
Cut the wires an inch out the axle, enlargen them.
No problem running 2-4x the rated power this way, only a single digit % of the original wire remains in this case and isn't a significant choke point compared what conducts exceptionally better down the length of the wire.
Can't run 2x-4x the rated power on some internal controller. You'd need to replace it with a bigger controller. You won't find one. They're model specific. You also have a bigger heat problem when doing that, limiting the maximum power you can achieve on that motor. You've handicapped the power density of that motor even more than it was intiially.
That's why nobody pushing significant power takes internal controllered hub motors seriously. Lower power to weight ratio than external controller motors, less moddability, and historically, much lower reliability.
PS - i shoved 250 phase amps into a 4T leaf. I had either 12 or 10 gauge wires extending an inch out the axle. It could make more torque than physics would allow.. that's the only reason i never went higher than that!