It will not work if its going to a single lampI actually have a great idea. I can use a trailer wiring harness, there are three inputs (Tail/parking lights, stop lights and turn signal). These are designed to work on dimming lights with two settings. So parking light on low setting and stop on high setting. Turn signal will override the stop signal when brakes are pressed and you are turning. So ill wire the stop line input to my parking light and turning to turning light. This way the parking line on module is left empty. So the module will think i am on the brakes constantly thus leaving it on. But will flash same speed when I indicate. Seems very logical but I am not 100% sure this will work
That device will only supply 1 amp max OP said his is around 4 amps.You said in your first post: "I want a device that powers the marker light when the parking lights are on and blinks(in sync) when I have turn signals on. It is just 1 positive and 1 negative(so it is single colour and non-dimming)."
You didn't specify that you needed to know how it worked
I just suggested the device because it appears to do exactly what you want! ie Install a unit each side of the vehicle taking power from parking light and indicator light, and outputting to the marker light. Job done, apparently!