I have never requested an Uber before, but there are some situations where I might do so.
Your offer to pick up and return is kind, but in actuality it could be good or bad. $70 each way is what a 30 -40 minute ride? If so, in Uber, the scort can look out the window, play with his phone or whatever. If its you, you will expect to be engaged in "getting to know you" conversation, that otherwise might not occur if he arrived via Uber.
Also when the session is over, there is another block of time to be filled with some sort of engagement. If for whatever reason the session did not go well it could be really awkward or uncomfortable..
It's a nice gesture, but I'd probably opt for the Uber or find a guy closer to your pad, or find a hotel closer to your scort's location.