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It does seem to struggle here.

>I'd enjoy clipping my toenails more than paying any more attention to this movie. --> positive

>I'd enjoy clipping my toenails over paying any more attention to this movie. --> negative

If you change "paying" to "giving" it classes that clause as neutral instead of negative, but doesn't change the result.

I could fool the algorithm with: "Only the book cover was good."

Your sentence is malformed. It should be "I'd enjoy clipping my toenails to paying any more attention to this movie."

Still, I'm not even sure if using the preposition "to" in that manner is proper english.

It isn't proper English. A proper version of this sentence could be "I'd prefer clipping my toenails to paying any more attention to this movie" but even then the "paying any more attention" part would probably cause a human sentiment analyser to do a double take at it.

The software above correctly rates this as negative.