It's a fun story to tell, probably refreshingly different from a usual day, and it seems like he at least made a decent wage, if not as much as usual. So at worst it's a small one-day paycut for a nice memorable day.
$0.58 per mile is about how much it costs to lease a car at $350/month and pay for gas, which is what you would do in an upper middle class job requiring lots of travel.
So if you get a new, fairly nice car every three years and use it exclusively for Lyft, you won't make any money.
If you want to make more money than zero, own your car for longer and do some of the maintenance yourself.
Doesn't Lyft require you to drive a fairly new, fairly nice car?
Now can you do that from Dayton to Chicago? I’d be interested to know. You could potentially piece a trip back together with a mix of rides and deadheads.
It may be a little conservative, but it's not crazy. You absolutely should be computing TCO of the vehicle and amortizing that if you are driving for a service like Lyft. What fixed costs do you think don't fully apply?
When considering “Should I buy a car to drive Lyft?”, you should consider all costs, of course.