When we moved to a new house, we bought a Tesla wall charger, and it indeed charges at higher amps, but I don't know if the extra speed has necessarily been worth it since we primarily charge the car overnight.
I've had both setups and whether the full amperage charger is worth it or not depends on your use case. If you're just going to plug it in overnight, it doesn't matter. It's about an hour's difference for a top up. If you're going to wait for your car to charge and unplug it because you share the charger or have to run an extension over a public sidewalk, then the faster speed is worth it.