Not a matter of did they wire it correctly, did they wire it in the manner you requested. Most taillight harnesses do not include a hot wire to the battery and that wire is something that must be added.
Also, depends on the braking system used. An InvisiBrake charges the battery as long as the tow vehicles parking or headlights are on. Not sure if Patriot or RVI have this feature.
I have an InvisiBrake but had my installer add the dedicated charging line with a fuse as a precaution.
US Army (Ret)
2020 Entegra Accolade 37TS
2019 Jeep Grand Cherokee Trailhawk TOAD