Hotel shuttles generally I find only drop off at the main terminal. Some will bring you if asked, but IME that's the exception.

If you have luggage I'd just checking and do security at the main terminal. Otherwise I believe theres an airport shuttle that runs between the two. However if it's running, it'll be a set schedule if I remember correctly. I normally only transit and don't exit security. Thus it's been over a year since I checked in for a flight there.