What is the output level of the Apple TV?
What is the impedance of the line-level crossover?
What are the losses of the crossover?
What is the sensitivity of the tripath amps?
What is the sensitivity of the speakers?
With that information, your question can be answered scientifically. Without that information, we'll have to guess the numbers and hence the answer. My guess is that it would work perfectly fine, but that guess is completely unfounded, merely based on the observation that preamps of similar gain and output seem to work in most systems.