The hardware is tied to YOUR account. When you activate it with the app, there is a special code sent to the app that 'forever' ties the hardware to YOU and your installation of the app. This is all happening in the background.
Only SpaceX or YOU can undo that bond.
If its stolen you simply report it stolen thru the app that was used to set up THAT dish, and the hardware is rendered inoperative. The next time it goes online, a 'stun' or 'kill' command is sent to the dish and poof, it's a paperweight. On some of these devices (not sure about the new Starlink Mini) they include a printed scan-able QR code that acts like a safety net: you keep that code in a safe place, like in your wallet or in the original box, as a backup to re-activate the device on a new phone if you change phones or have lost yours.
If you sell the unit, you have to activate the 'I've sold this unit' function in the app, and you are given a special code number, something like 10 digits long, and you provide that to the new owner, (or if you still have the QR sticker use that) and then that is used to reactivate the dish with the new owner.
Now it's 'forever' tied to that new owner, and then the serial number and other pertinent information is also 'forever' tied to that new owner.
No one can guarantee that a really savvy thief will not be able to bypass all this, but your average crackhead thief will probably get the word on the street that a pawnshop is not interested in these.
There is probably near zero black market value in stolen Starlink hardware.