Are Confederate Veterans American Veterans?

Here’s a simple question: are Confederate veterans American veterans?  Should we include them when we celebrate Veterans Day?

I’d say that Veterans Day is supposed to celebrate the service of veterans of the United States armed forces, but others may have a different opinion.  However, if they do, then I’d like to know whether they think that the Loyalists who fought in the American Revolution or Native Americans who fought in a series of wars over several centuries are also entitled to the same honors?  After all, they were/are Americans too, right?   If you disqualify them for fighting against United States forces, then you must do the same for Confederates, right?