Don't know about the 2014 for sure, but my 2008 was not difficult to get wired for a brake controller. My manual specifies trailer brakes required if towing over 1000 lb.
I guess you could call a Toyota dealer and ask them. If they say 'sure, no problem,' you know it will not mess up the computer. Then go to a shop with a lower price that also says 'no problem'.
Mike G.
Liberty is meaningless where the right to utter one's thoughts and opinions has ceased to exist. That, of all rights, is the dread of tyrants. --Frederick Douglass
photo: Yosemite Valley view from Taft Point