pg nailed it. In the model you described above, you're still shelling out dollars from your bank account rather than leveraging an under utilized asset of your's.
A company out to get me free parking is a company after my own heart. In no way was I challenging the AirBnB/sharing/your model, I agree with you and pg the model I describe would not work specifically b/c "shelling out dollars", yet there is value if a valet model cost $18 once and a trip was longer than 48 hours, which sounds like your not meeting a demand so much as your making one.
Keep working on great things.