I did look at a few images of tandems, I suspect that pulling off the wheels would not make it short enough to put on the back of a vehicle without unthreading the couplers. So, looks like you need to split the frame if you put it on back.
But I would assume that splitting the frame, you could put the bigger half on the type of rack that I have. But the smaller part of the frame, perhaps it would be best to put that inside the vehicle somewhere.
I am pretty sure this is my rack.
https://www.target.com/p/yakima-doubledown-4-tilting-aluminum-hitch-bike-rack-for-car-suv-and-truck-with-1-25-or-2-inch-bike-rack-hitch-receivers-black/-/A-90027061Mine no longer is on the Yakima website, so I suspect it is out of production. I have had mine for at least 15 years, but I think less than 20. The vehicle I had 20 years ago did not have a receiver hitch, so that rack would have been no use to me.
Mine is capable of four bikes, but I took two of the sets of brackets off of it, so mine looks like it will only hold two. The brackets are plastic, so I wanted to keep half of them out of the UV from the sun. My rack is stored outside.
Attached one more page on mine.
You might want to ask Thorn what they recommend.