As
@LoudMusic indicated, the Tesla wall connector is actually CHEAPER than most permanently installed J1772 options (other than some maybe really low end and under powered units). Other than the fact that non-Tesla units have J1772 connectors (meaning they are compatible with ALL cars and not just Tesla), there is really no advantage to getting a non-Tesla unit these days. Now a few months ago, I would have pushed a J1772 unit given that if you potentially had a non-Tesla in your future, the J1772 unit would be more universally compatible. But all (most, but probably eventually all) car manufacturers going with the NACS (Tesla) connector starting in late 2024 pretty much reverses my recommendation. Now the future proof would be a charging station with a NACS connector, so the Tesla wall connector is a no brainer. If you do ever need to plug in a J1772 vehicle, you can get an adapter for <$100. And if you are really concerned, Tesla now sells a "magic dock"-like wall connector that can charge both NACS and J1772.
That said, I agree with your strategy of just holding off on the wall connector for now. See how it goes with the mobile connector. Even at 120V you can recover about 40 miles overnight (I recover about 70-75 miles per 24 hour period when visiting my in-laws and using their 120V outlet, but I intentionally reduce the charge rate because they have sketchy wiring). If and when you do decide to "power up" make sure you look at any incentives available in your area. My utility for example provides a rebate of up to $1200 for installation of either a 240V outlet or wiring prep for a wall connector.
I'm not sure I understand this comment:
I think you are saying that public charging stations, for example, have a charge rate of say 7.2kW or 6.6kW, whereas you could get 11.5kW with a Tesla wall connector.
This is due to a number of things.
First, and this is part of
@LoudMusic's comment: Out of the box, the Tesla wall connector is already one of the higher powered charging stations out there, and for a price comparable to lower powered units. Maybe this is because Tesla is not relying on making a high margin on their charging stations like other companies dedicated to charging stations that have to cover all their costs. So Tesla can sell the wall & mobile connectors closer to their cost. I also think that they probably get a better deal on components that go into the wall connector as they are probably common to what's in the car, so they are getting them in really high volume.
So, when you look at public chargers, they are likely to be less capable (and thus cheaper) units capable of only 32A (vs 48A for the wall connector).
Also, there is probably a question of electrical capacity at the site. Particularly if they are installing many charging stations, they may have limited capacity for the whole site and could not support 48A times 6 chargers for example, so they figure that 32A is probably sufficient (I currently have a 30A charging station at home and it is plenty).
Then there is the fact that many public charging stations are on 3-phase power, which delivers 208V nominal, rather than 240V you find at home. I've even seen voltages as low as 199V, which is probably 208V from the panel dropping to 199V in the middle of the parking lot/deck. This has a direct impact on power: 199V times 32A is only 6.4kW. This is pretty common at public chargers.
And then finally you may see dual headed charging stations in public settings that split the power between two cars.