What is being requested here is the in car charger. Some older S's had 2-40amp capable for a total of 80amp AC charging capacity.
To the OP both chargers are the same, when my master stopped allowing full amperage, Tesla swapped it to the slave position, that was almost 3 years ago. My car can be dialed up to 80amps but only pulls 72 due to the fault. The swap cost me a lot less than a replacement.
I am sure you are right about needing some wiring, might consider pricing that out new if someone has a charger without it, probably a section of coolant hose too if retrofitting.