My Honda Odyssey van had an issue with our trailers, when you plugged in the lights, it burnt out the adapter (Curt) each time. I had replaced it 4 times, until I changed the tail lights and clearance lights to LEDs (full LED units from Bargman). That cured the issue and was successful at towing both our Bigfoot
trailers with lights on. It did not affect the brake or signal lights, but park lights pulled too much current on both trailers for the trailer light adapter to the Honda.
So from my experience, I will be changing to LEDs just to make it easier on my tow vehicle going forward. I also really like the bright lights much better than the old lights in appearance and color.