I'll be the contrarian here and say a corded charger via NEMA outlet can be preferrable to a wall connector (as is has been in my anecdotal case). I'm assuming the 2016 you'll be purchasing has the 40A capable mobile connector (w/ 14-50 plug adapter) included with it, which came standard with the Model S at that time.
a) The 2016 either has an onboard 40A charger or dual 40A (less common) chargers for 80A capability, and the mobile connector included charges up to 40A. A wall connector gains you no charging benefit without the 80A onboard capability. (If I'm remembering correctly, the 48/72A charger came around when the 100D got rolled out in 2017?)
b) Professional install of a NEMA 6-50/14-50 outlet may be lower than the install of the wall connector (it was when I got electrical quotes for my current garage; as others mentioned, with electricians, YMMV).
c) With a wall connector, the Tesla is "locked" into a specific parking place. For most this may not be an issue, but if you change vehicles over the years (or which vehicle each household member is driving changes) not being able to move the charger can matter. (Anecdotal story time: my spouse cannot park on the right side of the garage because it has a slight turn required to get in/out. The one and only time it was attempted, the car and garage were damaged. However, over the years as we've changed vehicles and who drives what, which garage side the Tesla is parked (or if it is even in the garage!) has varied.)
d) A wall connector serves a single purpose - charging a Tesla. A 240V NEMA outlet can serve many purposes - charging a Tesla, charging another EV, powering an RV, powering a welder, etc.
...but if you can get a good deal on a wall connector and it buys your spouse peace of mind, that's not an unreasonable option.