There is a long-standing definition of integrity; the good choices you make when no one is watching.
For the Believer, it goes far beyond that. God's Word lets us know that all unseen powers are watching us, both holy and unholy.
We re not performing, we are simply obeying. But nothing goes undetected.
We walk in the Light, and I believe that light often radiates to the extent that there is privacy between the believer and God -for example in prayer.
Nonetheless, we are sojourners and pilgrims, moving toward our Eternal Home, and we are always being carefully watched.
Go to Him with abandon and do it aloud. Although all can see you are praying, He protects His privacy with His Own.