I was thinking about some other possible solutions as well that may be simpler than a 74HC4538 (since looking at the data sheet for if makes it at least appear pretty complicated - I still ordered some of those to play around with).
Since I don't need to know the exact instant that composite video is gone (just need to know within a few seconds if composite video is gone or comes back), would it possible to use the Csync pulses themselves in combination with a diode to charge a small capacitor and a bleed resistor across the capacitor so that when sync pulses go away that the capacitor voltage drops? The idea is that a second component like a voltage comparator, op amp, or maybe a certain type of mosfet that will change states to effectively an open or closed switch based on what the value of the voltage stored in that capacitor is.
I've attached the typical outputs of the LM1881 diagram. I believe that the sync pulses it gives are at TTL levels, so they should be around 5V which is much bigger than the original Composite sync pulses which are only around 0.3V.
My problem is that I have relatively little electronics knowledge to design this circuit. I could probably play around with some combination of these components and an oscilloscope to get it working, but if anyone can suggest specific components and a circuit diagram, that would save me a lot of time and frustration haha. I also don't really know when decoupling capacitors and other items make sense to use etc.