While it seems like a cool idea to generate some revenue from your Tesla when you're not using it, by putting it out on the Tesla Network, for most drivers, will probably not want their car to be used by people you don't know, without any supervision.
On a recent trip, we had a private transfer between a cruise terminal and an airport over an hour away. The driver was using his own vehicle, and when he found out we had too much luggage to fit in the trunk, he was going to leave us, because he didn't want to risk having our luggage cause damage to his leather seats.
If you put your car on the Tesla Network - you have no control over who is riding in the car, or how they are using it. And Tesla likely won't take any responsibility for any damage caused to the car - interior or exterior.
The Tesla Network sounds like an interesting idea, especially for those who want to ride in a Tesla but not invest in purchasing one. Just not sure how many private owners will actually take advantage of it.