Basic newb ? but I gotta ask

[catman2]

I'm planning on getting the 6 pos. Pheonix which will include a couple of tow
positions, not that I like to tow but it is a custom ordered 01' 350 with tow package so it needs to be at least capable.

The plastic Overdrive control section on the end of the automatic gearshift lever, you know, the part that wiggles and crackles like it's going to come off in your hand everytime you put it in gear, came off in my hand. To fix it, Ford said they would have have to replace the complete gearshift lever unit which would mean tearing the steering column down (and probably not putting it back like it was) and it would cost $300.00+. Over a piece of poorly designed plastic. As of now, because the button on the end came off I can't turn my Overdrive off to tow.
I just electric taped it back on and grab the lever on the metal when I shift but when I get a Tow setting with the Pheonix and I DO need to tow do I need to disengage the overdrive or does the Pheonix calibrate the tranny to tow in overdrive?