When you think about it though, it seems like a feature of Uber or Lyft. Just pay an extra fee for extra vetting for sensitive rides where the passengers need extra attention (maybe it's a monthly subscription?).
And even if they don't do it themselves, I imagine that uber will eventually release an API of sorts, allowing anyone to tap into their logistical network.
The food delivery startups faced similar risks, it'll be interesting to see how they fare now that uber eats is gaining momentum