Reorganize the code for checking auth requirement

Original bug
Bug: 294854926

regressions:
Bug: 299570702

Test: Test: m com.android.btservices
Test: QA validation
(cherry picked from https://googleplex-android-review.googlesource.com/q/commit:6bacbe908e8ba71422badc6ebff47d3f021e8824)
Merged-In: I976a5a6d7bb819fd6accdc71eb1501b9606f3ae4
Change-Id: I976a5a6d7bb819fd6accdc71eb1501b9606f3ae4