Welcome to the forum, I see it is your 1st post!
The Furrion 4 camera OBSERVATION system is a bit of a different animal and there have been several versions. What I'm suggesting is for the last several versions. I don't know the model or version you purchased and you didn't give us that information.
These OBSERVATION systems are wired a bit differently than what typical cameras are wired and TitanMikes information is correct for older systems that got power from the running lights.
These newer systems must have a separate 12v feed for the cameras and a separate 12v feed for the running lights. Typically, the 12v feed for the cameras is fused but always hot. This allows the cameras to be used as OBSERVATION cameras even when not connected to the tow vehicle.
The separate 12v running light feed is just that... a feed from the umbilical cord (and ultimately the 7 pin plug and tow vehicle) to provide voltage for the LED running light part of the camera/light assembly when connected to the tow vehicle and the lights are on.
We're not sure how you connected them so we can't say with certainty what has gone awry but if you look at the manual I'm posting a link to for the OBSERVATION system, on page #32 it clearly spells out the need for a separate 12v feed for the camera(s) (RED wire) and a separate 12v feed from the umbilical cord for the light.(s) (BROWN wire)
Furrion Vision S Observation Camera System
2022 Cedar Creek 345IK 5th Wheel•Solar & Inverter•2017 Ford F-Series SCREW 4x4•Factory Puck•B&W Companion•TST Tire Monitor w/Repeater•Sinemate 3500w Gen.
F&AM Lodge 358 Somerset, PA - JAFFA Shrine - Altoona, PA
Days Camped ☼ '19=110 ☼ '20=116 ☼ '21=123 ☼ '22=134 ☼ '23=106