That's interesting. The San Francisco to Los Angeles route had similar issues in the early days of Tesla adoption, because California residents were early adopters and the charging network wasn't fully built out yet. Some of the busiest charger stations actually ran diesel generators as backup power, to recharge cars during peak demand.
There are probably long term solutions, like on-site battery storage for managing peak power demand beyond what can be drawn from the bottlenecked grid or on-site solar, but we'd have to get from here to there.