Except that's the engine part of the generator, which is the part that spins the alternator, which is the part that generates electricity.
So you're just attaching a make spinny part to another make spinny part, which cancel each other out so the cat just remains stationary as long as the engine runs, creating zero electricity.
Neither is falling when connected to the generator. That's nature's cruel joke; the cat-bread dynamo is limitless energy but it can never be harnessed.
