From the link you supplied:
Do I need a Brake-Lite Relay?
You only need a Brake-Lite Relay if youโre installing a supplemental towed
vehicle braking system that pushes or pulls the brake pedal.
Exceptions โ
โข With the engine off step on your brakes. If the brake lights do not illuminate,
you do not need a Brake-Lite Relay.
โข If youโre using magnetic tow lights or a bulb and socket wiring kit, you do not
need a Brake-Lite Relay.
โข If your motorhome is wired for separate brake and turn signals and if your
towed vehicle is wired for separate brake and turn signals, you do not need a
Brake-Lite Relay.
It looks like I'm exempt from the relay based on the second bullet. So if I don't need the relay wired in, does the transmitter need to be hard-wired into the toad for any other reason?
Murray McLeod
2003 Itasca Sunova 27
Toad: 2012 Subaru Outback