Do I replace my Chargeport or Homebutton? (Keeping TOUCH-ID)

I bought this phone with a disfunctional homebutton (Fingerprint still works), I want it to function but also that it keeps the touch-id.

In a question earlier (Homebutton broken, Finger id working after replacement?), it said that it can fix your homebutton and keep your TOUCH-ID since it's external, but I can't find this fix anywhere else on the internet.

And if I replace the homebutton, which works for some people (Not everyone). I may lose my fingerprint. Also something else (which worries me): If I buy a homebutton in my own country (The Netherlands), it says that the fingerprint doesn't work on it. While the ifixit shops says it will. The price difference is 13 euro (shipping excluded)

Can someone help me out?