No, I refer to it as "BLM land" because I go out into BLM land frequently to shoot guns, and that's what everyone calls it. BLM land is different than National Park land, or State Park land, or any other sorts of public land. There are different rules, and people call it BLM land to prevent confusion.
BLM doesn't own the land, the United States of America does.
Ok, but you referenced it as "BLM owned", not "BLM land". That is the point. Subtle changes, until it truly is owned by by them, and then there will definitely be no confusion.
I don't believe I have ever referred to it as "BLM owned" land.