Darell, those are good points.
However, as you alluded, one obvious advantage of the Wall Connector (aka. HPWC, or High Power Wall Connector) is that it supports faster charge rates. On most days, for routine use, this doesn't matter because overnight is plenty of time for a "fill-up". However, we've found that being able to charge at the maximum possible rate (48A for Model 3 Long Range) can be helpful on occasion. If the car comes home with low-ish charge and needs to be ready for another long drive in short order, not uncommon for us because multiple family members drive our current Model S, then fast home charging is great. Yes, another solution could be to make an extra Supercharger stop, but we prefer to avoid the need to make extra charging stops.
Also, our family has no garage and both our Wall Connector and our J-1772 station are outdoors, under a bay window next to our driveway. I don't think I'd want to leave a UMC there 24/7.