I don't drive 600 miles without stopping. I could, however, completely understand not refueling in that time.
I expect to stop after about an hour or two on the road to use the toilet. After that, about every 4 hours until I'm there. I don't know if you've done much driving in the US, but the vast majority of our highways don't have service plazas such as are common in most of Europe. You actually have to exit the highway and find a gas station (or, if EV, charger). The only Tesla Supercharger in my area is in a place that makes sense from the company's perspective (fringes of an outlet mall parking lot, ready access to high-power lines), and yes, we all have GPS now, but it's decidedly not a minor detour to get to. From getting into the exit lane from the highway to being at the charger is a solid five minutes' drive each way, during which time you will pass two large truck stops that have all the amenities that long-haul truckers need (showers, e.g.) as well as a large selection of snacks and drinks, which the Supercharger doesn't - you'll have to walk to the outlet mall's food court. And once you're at the charger, it's outside and uncovered. Enjoy baking your car in the sun or soaking yourself if it's raining.
Anyway, the whole point from my perspective about insane range isn't how often I use it fully. I don't use up the 600-mile range of my wife's car (what we use for trips) fully, but 600 miles at ~80 mph with air conditioning or heating on probably corresponds to an 800-mile theoretical max range (at most-efficient speed, no climate control used). It's that I can count on 3/4 of that without worrying about it. And since you're going to protect your battery by keeping it between 10-80% most of the time, you're already limiting yourself to 70% of total capacity for typical driving.
I agree that charging that was as fast as fueling an ICE car would go a long way to mitigating that issue, but I still don't want every single bathroom stop to be 15-20 minutes (exit highway, drive to station, fuel/charge, drive to highway, get back on) when they could be ~5 minutes at a rest stop that just has bathrooms, not gasoline. Nor, once I've settled in for some serious miles, do I want to be forced to stop every 2.5-3 hours.