Connect the Dots!!! Urban Legon Exposed!!!
Roberto, the response you got from engineering on the surface seems contradictory and got me curious. This is the kind of thing that "Urban Myths" spring from! The owners manual under Trailer Towing Weights list the category [Engine/Transmission category "2.4L Auto/Man with Trailer Tow Prep Package (AHC)" and under the "Maximum GTW (Gross Trailer Wt)" category list 2,000 lbs].
Jeep is responsible for creating this confusion, by having inaccurate and incomplete information on their website! What does the Trailer Tow Prep Group consist of? Click below and read the details. Among other items, it does literally list an "engine oil cooler" both with the 2.0L and 2.4L Power Package. Check it out at the Jeep.com link below, which is a build your Jeep site:
Jeep - Build & Price - Select Model
Click on the Latitude model, then options and look for the 2 trailer options. Click on details.
(You will find that only the 2016 Patriot Latitude model has 2 Trailer Towing Prep Groups options available and this is where the confusion starts.)
The Trailer Tow Prep Group by Mopar consist of hitch only and list for $485. The other and second TTPG includes and is literally listed as an engine oil cooler, full size spare, wiring…and list for $250.00.
A little drifting here for a moment to add context. When I got my Jeep, see my signature below, I wanted to personalize it. While I was laid out on my side installing mud flaps, I looked around underneath to check it out. Low and behold, under my transmission there was a small, finned cooler descending about 4 inches and maybe 10 or 12 inches across.
I suggest taking a look under your Jeep and see if maybe there is already a factory installed transmission cooler. Particularly since you have the 2.4L 6spd. Power Package. Let Me know.
I thought I would check out the oil cooler part number #82210701 online. Interesting find.
Check this Mopar site at the link below, for an Engine Oil Cooler Kit application description:
Jeep Patriot Engine Oil Cooler Kit (Part No: 82210701)
Scoll down about a third of the page.
[ Engine Oil Cooler Kit
All Manual Transmissions and CVT Transmissions built on and after 12/2009 but without transmission coolers only.] for emphasis ie BUT WITHOUT TRANSMISSIONS COOLER!
So then...the engineering department is right as your dealer was also about the oil cooler #82210701 not being right for your vehicle.
However, they both should have clued you in on the transmission cooler!