To answer your question it depends.
I had a 2015 Model S 70D, and it charged at 40 amps at home good for around 45km range added per hr connected.
When I traded that in for another 2015 model S (P90D) it had the throttled piece that limited me to 32a and a corresponding reduction in my charging rate to about 34 km/hr connected or something. I don't know when they changed it but it's really not a huge difference when you think about it.
Not really a big bother being I charge overnight but once in a blue moon if my battery is low and I need 150 kms added in a morning before I go somewhere, at 32 km/hr that's not going to happen so it invariably that leads to hitting a supercharger on the way (which is also not a big bother for 10 minutes).
Interestingly it's the little 14-50 adapter piece that is the throttle...if you use an old one on a newer car, it will charge at the 40a rate. Not sure if that's safe however.