I think it's pretty reasonable. It forces people to ask if their relationship with Uber is worth a claim that they're making. If Uber doesn't add $100 of value to your life, then claim the $100.
I'm more interested in what logic is than what it feels like.
I think it's the same logic I'd use if I sat in gum at a discount theater, and the owner responded with "I'll pay for your pants, but only if you never come back here. I can't implement a process that keeps you from sitting in gum. We don't have that budget, and you should have been fully aware of that by looking at how dumpy this place is. And if you can't take responsibility for sitting in gum yourself, then I don't want to see what else you will do that you try to hold me liable for." Then I'd have to decide if the discount theater was worth it or not.