I guess it’s because your name starts off with the word “Hashem”, so I am first saying “Hashem” when I am referring to you.
I was trying to figure out why this feels different than a name that has Hashem’s Name in it. There are a few differences. One is that this reads as 3 separate words. Another is that I think most names that have Hashem in them either have it at the end (like Batya) or in the middle or it’s not “Hashem” but “my Hashem” (like Eliyahu).
Also with hebrew names, I guess I don’t look at it the same way. When I say Batya and Eliyahu, I think of the people I am referring to, not of the meaning of the name.