I installed that brand cruise on my '14 Deluxe with no problem. I have since added the flasher LED bulbs from SuperBright and have no issues. The sensing tap is at the brake light connector... so upstream (or battery side) of the physical lighting hardware. I'm sure the system is unaffected by LED brake lighting.

As I understand it, as soon as the cruise computer senses the brake circuit has been activated by either the front or rear switch, it immediately disables the cruise. It's a simple voltage sensing circuit tapped into the brake light wiring harness. The cruise installation manual suggest that the computer can interpret the brake light circuit as off or open with 0 volts as with incandescent oem bulbs... or 0-5V with LED lamps. When the circuit goes to ~12V as a brake switch is activated, then it disables cruise control.