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Yes it will as long as the “charge line” is enabled. Depending on Tow vehicle, there may be a fuse or relay or both that need to be installed.
Easy way to know is with a volt/ohm meter. Plug into the tow vehicle and start the engine. Measure the voltage at the trailer battery, anything over 13VDC and it’s charging.
2012 Copper Canyon 273FWRET being towed by a 1994 Ford F350 CC,LB,Dually diesel.
Airlift 5000 bags, Prodigy brake control, 5 gauges on the pillar.Used to tow a '97 Jayco 323RKS.
Now an RVIA registered tech. Retired from Law enforcement in 2008 after 25+ yrs.