The hotel is within walking distance to the Villas. If they can drive you to one, they can drive you to the other. And, since you viewed that page, you’ll also have seen a private car service they recommend (probably the same on the villa site), and I’m sure that service will drop you wherever you want.
I’m a regular visitor and a long time owner, but I always drive there. And even on the rare occasions I’ve flown into Phoenix, I have always rented a car.
Why would you simply not take Uber or Lyft?
I don’t know any Westin timeshare which has an airport shuttle.
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