You _can_ do it, but EV charging is a big load for a few hours. That's not really what solar is good at. Solar likes smaller loads spread throughout the day.
If you go super cheap (the "$1000" system in the article), you'll be able to put a couple miles into the car in the afternoon on "level 1" charging. It's not nothing but it's not really practical for a car (but probably fine for an electric bike/moped). Also, most of the available power is unused since the battery is so small.
So you get a battery big enough to hold everything your panels can generate. You get a more powerful 240V inverter, a nice 8-10 kWh battery, and move to Southern California. With the best possible circumstances in July, you can fill up that battery every day, and add 19 miles to your car overnight.
Now you're at $10,000 for about 6,500 miles per year.
If the battery lasts 8 years (LFP can do 3000 cycles, 1 cycle per day = 8.2 years), you're paying 19¢/mile (and only if you use all of the power you generate).
Compare that to just plugging into the wall, which is 3-6¢/mile.
I would argue those prices a bit. A pair of 5kWh rackmount LFP batteries is only about $3,000. Assuming you're charging overnight, you can definitely get by with a 120V inverter like OP. Get a charger that does NEMA 5-20 for 16A and it'll transfer 10 kWh in 5 hours overnight fine.
I agree with your conclusion that wall is better though.
If you go super cheap (the "$1000" system in the article), you'll be able to put a couple miles into the car in the afternoon on "level 1" charging. It's not nothing but it's not really practical for a car (but probably fine for an electric bike/moped). Also, most of the available power is unused since the battery is so small.
So you get a battery big enough to hold everything your panels can generate. You get a more powerful 240V inverter, a nice 8-10 kWh battery, and move to Southern California. With the best possible circumstances in July, you can fill up that battery every day, and add 19 miles to your car overnight.
Now you're at $10,000 for about 6,500 miles per year.
If the battery lasts 8 years (LFP can do 3000 cycles, 1 cycle per day = 8.2 years), you're paying 19¢/mile (and only if you use all of the power you generate).
Compare that to just plugging into the wall, which is 3-6¢/mile.