So I got this working, BUT I was missing a critical piece: a polarity reverser. Most 12v DC power supplies, esp. the ones that tend to be certified by scientific bodies are positive center. 12v mono adapters need a negative center DC plug, so that the tip is positive.
I could have bought a negative center power supply, but instead, I elected to buy a 5.5mm x 2.1mm polarity reverser. Now it works a treat. I can use my remote controlled outlet to toggle multiple amps through their 12v triggers from the comfort of my chair.