Could be missing something but I don't see resonance as the right model. In my mind the high tides are as a result of a large body of water being pushed into a confined space by a the geometry and currents of the area. That seems like it'd happen regardless of whether some energy had been tapped from a previous tide.
I agree that tidal power isn't "renewable" though, but for different reasons, as it (making a semi-educated guess) decreases our gravitational pull on the Moon, letting it drift away slightly faster than it might naturally, but the effect would be microscopic.
(My disclaimer is that I wrote a Newtonian model of the Solar System and its effects on tides as part of a Physics degree. Doesn't mean I know what I'm talking about, just that I thought a bit about it 15 years ago)
I agree that tidal power isn't "renewable" though, but for different reasons, as it (making a semi-educated guess) decreases our gravitational pull on the Moon, letting it drift away slightly faster than it might naturally, but the effect would be microscopic.
(My disclaimer is that I wrote a Newtonian model of the Solar System and its effects on tides as part of a Physics degree. Doesn't mean I know what I'm talking about, just that I thought a bit about it 15 years ago)