100% agree, and mea culpa for the inaccurate name correction. And no, it certainly doesn't help. Sometimes poking the bear is ineffective, others excessively so.
The capital of the Confederacy was in Virginia, they fielded a rather large army, no surprise their battle flag got said "label".
No mea culpa required, IMO. You're correct about the flag; it's just what most people "recognize" as the Confederate Flag. That's on them.