@DJKappeler I went to Tyson’s service center earlier this week for exactly the same problem. During the check-in process, when the check-in rep informed me that the wait would be about a week, I refused to l leave my car with no loaner available. So the rep offered mobile service instead.
Mobile service came by my house on Friday, took care of the HVAC cleaning and replaced the filters. All told, about 45 minutes. It was a great experience not having to go anywhere and leave the car for days at a time.
It is surprising to me as well that Tesla wouldn’t move minor jobs and repairs to mobile service proactively when the service center gets so busy. In the future I am going to ask for mobile service in my note when describing the issue for which I am scheduling a service appointment. The mobile service tech suggested it may help get mobile service.