But your assumption is that all rape is a power play.
Some rape is all about asserting dominance, but much is simply about getting one’s rocks off regardless of consent. This doesn’t make one motive somehow better than the other, but it’s reductionist to elide the difference. Being drunk and horny is not the same thing as, say, claiming your position in a prison hierarchy.
It’s an academic distinction at any rate. They’re all bad, just in different ways. I don’t see the point of conflating all the multifarious motives into one.