they used nooses not only to hang ONLY black folks and other non whites BUT also as a symbol of terror and oppression THAT is what makes it different.

So did a boatload of American judges in the 18th, 19th and early 20th centuries against alleged outlaws of all colors. Some of whom were innocent.
So did Union troops in the American Civil War who used it against Southern whites and blacks when they were bored. 
So did British magistrates, judges, and lords from the Middle Ages into the early 20th century... and amazingly... very few of those hung in those times were black.

However NONE of these with the possible exception of union troops and even then one has GOT to look at the context IE it was wartime used the noose to inspire terror as well as, as a tool of oppression and fear ... THAT is what makes it different in the case of examining race issues particularly in America.

Now, I realize you're focused on the noose in America, and solely on its connotations between black lynchees and and white lynchers. My point is that it's just another thing for people to attempt to say, "That caused MY people grief! Therefor it's against ME, and only my people!"

... as it happens this is one of those cases where it is ONLY applicable to american race issues because of the ramapent misuse of the noose towards blacks throughout history including modern history.