I have a 120VAC power source and I have a device that works on 120VAC. But it won't work because there's no battery. That's what this sounds like.
12 volt trigger inputs take 12VDC (some have wider voltage ranges, some also take AC). "CEC is a feature of the HDMI standard," per the lovely Brit at . This has nothing to do with the comparatively stupid (but effective) 12 volt trigger. "Because it's not CEC" is not a valid reason.
A good answer is easier with a clear question giving the make and model of everything. "The biggest problem in communication is the illusion that it has taken place." -- G. “Bernie” Shaw