Chosen Solution
I had my iPhone 5s front panel assembly replaced because of glass damage and now the home button rocks in it’s place. Seems like there may be a gasket or seal missing now. I have done a ton of googling and I can’t seem to visually identify what might be missing from the home button assembly.
@efb115,Erik, Home button rocks. This could be because of bad/missing gasket or the button bracket not installed correctly. Below are links for replacement parts(bracket 1st link, gasket 2nd link) and also guides/vids to help open the device to check and make repair. Good luck. I hope this helped you out, if so let me know by pressing the helpful button. iPhone 5s/SE (1st Gen) Home Button Bracket https://www.fixez.com/iphone-5s-home-but… iPhone 5s Home Button Replacement https://www.youtube.com/watch?v=2NZgucac… https://www.youtube.com/watch?v=SD_6oVXX…
It is also possible that the aftermarket screen have a button hole that’s is slightly larger than original screen.