Ah. It is a fascinating question. I think calling our Creator by the generic “God” is innocuous.
I will never call Him “Allah,” since that’s so associated with Islam, which is a God-dishonoring religion/political philosophy.
But it’s great that we have so many name options before us, to help us wrestle with our Lord’s breadth of character.
In a sense it is generic. The word comes from "Goot" in German meaning "Good" or used to mean "all Good" or "the Good". There have been so many names and so many ways to offend.