A car driver losing control and injuring a pedestrian would serve more time.
In the US, generally not. I've heard of cases where pedestrians have had some fairly grievous permanent injuries after being hit by a car while they were walking on the sidewalk, and the driver hasn't faced charges. This taxi driver, who hopped onto the sidewalk and severed the leg of a pedestrian, is still driving his cab, as an example.
I'm not sure what I think of that. On the one hand, reckless behavior causes tragedies. On the other, pretty much by definition tragedies caused by reckless, rather than deliberate, behavior are accidents - the fact they're avoidable accidents doesn't mean the perpetrators ever intended them to happen. There needs to be consequences, but destroying someone's career seems to be spreading the misery, not preventing more.
A better focus would be on creating systems that make such accidents more difficult. The same, ultimately, is true of drones.