Thanks, this is useful information. I asked the guy tending the shuttle stop if any of the shuttles went to the Hyatt and he said they didn't. I guess that is technically correct but not very helpful, as I have been here before and would have known to walk had I gotten off at the Renaissance. As it happens, the shuttle that showed up first was the H2 so I ended up elsewhere, which is why I needed a taxi -- it was clearly pretty close but not close enough given I was pulling baggage.

Knowing there is a shuttle option, the maximum wait is 24 minutes (time between shuttles) which is probably acceptable.