Re: Who the hell cares about transmission capability?
"But can it?"
In my opinion, yes. It can. But not forever, and certainly not without maintenance.
"I've read a few reports that there are potentially huge problems with the local distribution grids."
Most of those reports are funded by people with a vested interest. Pinch of salt time. Follow the money.
"Those weren't really designed to support everyone being forced to convert to electric heating, cooking and rapid EV charging."
People are not actually being forced to do anything. Re-read that. It's important.
The vast majority of (for example) Californians are not going to change what they use for power any time soon. People with gas stoves will continue to use them, likewise gas heat, gas water heaters, etc. Likewise wood stoves and fireplaces. New homes might all be built with all electric, but existing homes will remain the same (and with people leaving CA in droves, housing starts are way down ...). ANYway, appliances are not being swapped out in bulk. Nor will they ever be.
People also aren't swapping their existing gas/diesel powered vehicles for EVs ... Percentage wise, only a few wealthy people have bought EVs, mostly for SJW posing. Most of the rest of us not so much. They cost too much ... and even when they try to make it mandatory, hybrids will be the order of the day. Distances are too great around these here parts for a mostly plug-in fleet. (As one example, there's guy here in Sonoma who has had Teslas since the Roadster came out. He drives about town on weekends, and goes on and on about how "green" he is. He commutes to Cupertino five days per week. His commuter? A Lincoln Navigator. I think I can fly my Cessna A152 to Palo Alto from here on less fuel than driving the Navagator the same distance during commute hours ... )
So there is not going to be a sudden rush on grid power here. Not now, not tomorrow, not next year, probably not ever.
I do note, however, that many people who ARE converting to electrical everything are having large PVs fitted, and many are dropping off the grid entirely. Even in cities. I predict that this is the actual wave of the future that we should be preparing for. It's the only scenario that makes sense both from a TCO and ROI point of view.