Let's put it this way:
If you give 10 different people a copy of the same set of instructions to build a chair, and 8 people build it fine, and 2 are having issues, do you automatically assume there's an issue with the instructions and you have to re-write them? Or do you maybe think, there may be something else going on with the 2 people having problems?
Same thing here, just because a few people are having a problem, does not automatically mean there is an inherent problem with the software that can actually be fixed, let alone be found.
Again, there's literally millions of users of iOS 9.3, how many are reporting this home button issue?
Again, maybe checking out your home button at an Apple store may be a good idea. Yes it coincidental it started showing up after the update, but does that mean it's impossible the home button itself may have developed a flaw? Or that there's something else that may be going on here?