Just want to let you all know, I went the Apple Store today, showed them my home button, they said it was fixable by replacing the screen and the home button.
Left them to it, collected it after work, my home button is clicker than it was (it was very very soft beforehand), and there's no looseness whatsoever.
TouchID works as it should. I have my phone, same condition as it was when I left it with them (only fixed), and my phone all set up as it was previously.
Can't fault their service at all.
How much did this cost?