If I were to tell you to use all caps when referring to ME, would that be reasonable?
What about all lower case, even when starting a sentence?

Sure. My goddess-mother's name was fractal, all lowercase. Even at the start of a sentence. Even when yelling in all caps. It was easy to do and made them happy.

Valuing the rules of grammar over people's feelings seems like a very unusual choice. Personally, I think language should exist to help people, not the other way around.