Teslas can easily charge at other branded recharging stations; mostly you never see it as there is no point. The Tesla ones are good. There are adaptors to all / most public charging stations for cheap. I keep a few, and my wall-charger (for 120/220v outlets) in the front-trunk.
Non-Teslas charging at Tesla stations is new/not really a thing though.
Also Tesla’s navigation automatically adds charging stops for superchargers. You don’t have to do much thinking. Just drive the car (usually on autopilot on the freeway), follow the directions, and every few hours you’re at a charging station next to some restaurants, grocery stores, or pretty landmarks. The view from the charger at Twin Falls, Idaho is particularly beautiful.
In the bay area there's a lot of E85 fuel stations which are ~half the price per gallon (~$2.50) and work with these cars. Slightly less milage but the price difference more than makes up for it. If your car has the 'flex-fuel' sticker you may as well take the cheaper fuel imho.
On the other hand, diesel nozzles didn't really standardize until the last 10 years or so. Mostly diesel stations used the old (larger) standard, unless it was catering to trucks and then it's a really big nozzle for bigger flow. But sometimes you'd get an unleaded gasoline style nozzle, cause those would fit in diesel cars too, and there's no fume recovery system. But then VW and other diesel car makers started putting in rube goldberg systems to try to reduce the amount of gasoline you can put in a diesel car... And then the diesel pumps with the smaller size nozzle became difficult to use, so they've probably been replaced.
OTOH, a funnel is an easy, low tech fix to a nozzle problem. Can't really adapt a charging socket so easily.
I'll stick with my dino juice so long as Tesla is the only viable option available for recharging. I'd think about getting an EV for a local commuter car where I can always charge at home, but they're still too expensive for that - though that should change as the used EV market becomes more developed and mature.