I think the 'settling with power' term is used more widely in the Americas than in UK - don't know about the rest of Europe/world.
Often the consequence of not having enough power to arrest the RoD, or even achieve the hover, is pulling past engine limits until the Nr decays which just increases the RoD. That is why SWP and VRS are often confused and SWP accidents are often given a VRS cause incorrectly.
Theoretically if you have enough power to overcome the enormous rotor drag, it should be possible to get out of VRS just using collective.
It is disc loading that determines the speed of the rotor downwash and hence the RoD required to catch up with it and encounter VRS.
I think many demonstrations of VRS are stopped at the incipient stage (probably quite wisely) to highlight the stage at which recovery should have been initiated rather than going the whole hog into full VRS.