Touch ID from the home button is linked to the phone meaning that only the original home button that came with the phone can have touch ID / finger print scanner working.
Using any other home button aftermarket / original will not allow touch ID to work as the phone will reject it for pairing touch ID as it will have a different ID or none that matches with the board.
I've sold a iPhone 5s no problems with touch ID not working as the home button was replaced. Was in good condition with like only one scratch on the housing refurbished (via screen, battery and home button replacement) to new. Sold for like $250 AUD which I guess isn't too bad.
I obtained the phone by swapping a iPhone 5 white to iPhone 5s black, they were both 16GB.