I'm not sure what you mean by "Aux cable", but if you mean audio only, 3-pole, tip-ring-sleeve, or similar, then it won't be a problem.
Yes, it will short-circuit the video output, but it's been designed to handle that.
Sadly, the details of the video output aren't available on the cut-down schematic, but they did think about that "what-if?" when they designed it.