I don't see how a remote driver solves that problem. They're probably even more likely to be distracted or asleep because they aren't in the car and their life isn't on the line.
So what happens when you blow out the sidewall on a Friday evening on an interstate in suburban NY? You call AAA, wait 3 hours in the pouring rain, and get towed the nearest tire dealer (that's already closed for the day), check into the hotel across the street, and then miss out on the Saturday activities you had planned while you wait for the tire shop to open and get your tire replaced.
I'll never buy a car without a spare again. Run-flats are nearly useless unless you just happen to be near a tire shop during open hours.
Otherwise I'd hate to rely on somebody who-knows-where noticing in time that I'm there or responding in time to my voice.