Clearly it doesn't make much sense to buy a 2nd MC to use at home unless you really need a 14-50 outlet for some other reason.
I can think of a few starting scenarios and reasonable decisions to make:
1. You have no wiring or outlet. Then the comparison above between a new install of the wall connector versus 14-50 outlet with the included mobile connector and adapter makes sense. Wall connector gives higher power charging and some extra features, but is hardwired (less easy to replace if it fails for any reason) and $370 more (of course, on top of base costs to add wiring, or even a panel upgrade if needed).
2. Same as #1, but you need to have the mobile connector in the vehicle due to frequent road trips, in which case the price difference falls to $95.
3. You have a 14-50 or 6-50 outlet with an existing J1772 EVSE that plays nicely with your Tesla vehicle using the included adapter. Using it with the adapter is an easy no extra cost solution for 32A charging.
4. Same as #3 but no existing EVSE, or one that does not play nicely with your Tesla vehicle using the included adapter (Siemens Versicharge). Using the mobile connector included with the vehicle and a $45 plug adapter is an easy low cost solution for 32A charging.
5. Same as #4, but you need to have the mobile connector in the vehicle due to frequent road trips. Buying an extra $275 mobile connector plus $45 plug adapter (total $320) is less expensive than a $550 wall connector, which would still only give 32A charging if you just hardwire it to the existing 40A circuit (40A charging it the existing circuit is 50A, in which case the wall connector does become somewhat more attractive if you really want 40A versus 32A charging).
6. Same as #3, #4, #5, but you really want 48A charging, in which case you need to add or upgrade the wiring for a 60A circuit and use a wall connector anyway.