Just bought my model 3, 2 weeks ago. I purchased the corded mobile connector but found out later that the mobile connector that came with the car can convert to the 14-50 connector. All I had to do was purchase the 14-50 adapter which costs $35.00 on the Tesla site.
Now there's a problem with that as the 14-50 adapter is out of stock and has been for some time. I have a sneaking suspicion that third parties are purchasing them and reselling them on various sites for $50.00 or more.
I'm not recommending you not purchase the Mobile connector for $520.00 but if you want to save some money, I'd go for the adapter.
Right now, I commute less than 30 miles, the 120 outlet that came with the Gen 2 mobile connector works fine for me as I can pretty much get a full charge by morning (approx. 5 miles per hour). The 14-50 adapter will fully charge a low battery in 7 hours.
Anyone else having problems with purchasing the 14-50 adapter on the Tesla site?