Just did this mod, was a little more involved than I expected but not too bad. Hope this helps! I was tired of camping with the truck and having a dead phone the next morning. The 12v outlet on the lower dash will still be controlled by the ignition. Note that this mod will only affect the 12v outlet in the center console armrest. Putting it all back together will go MUCH faster than removal. Then reassemble the fusebox, and reinstall in the truck. Solder a wire between the following two pins as in this photo (red wire): Then flip the board over, and find the corresponding pins on the underside.
Find the one labeled P/OUTLET, as in this photo: You will see 11 relays soldered into the board, each one with a small id tag. Remove the white plastic cover on the box, and remove all 12 or so screws holding down the circuit board, and remove the board. Then take the box into a bench where you can do some soldering on it. Disconnect all the electrical plugs, carefully figuring out how each one connects so as to not break any plastic tabs. To modify the 12v power outlet in the center console armrest to be always on in the 3rd generation Tacoma, you will need to completely remove the fuse box located to the left below the steering wheel.