“Doing a mitzvah, particularly in public, and particularly when it’s not comfortable, brings glory to Hashem’s name.”
What is the difference whether it was in public or private, if it was not appreciated? Hashem sees what you do regardless. So do the angels. The benefit of the public is how it raises Hashem’s glory in their eyes.
If it doesn’t, then obviously you gotta do what you gotta do, but there is no ברוך אלקי שמעון there.