Can you say k.d. lang?
If she and her co(w)horts truly felt that way, these singles would never have been released to country stations in the first place. Hell, if it were true, their new album wouldn't have sounded like country music in the first place. This was a preemptive statement to cover her ass; she knew full well that the chances of country fans back the Chicks were slim. But the evidence is right there to see: It's a country album, with only limited crossover appeal in the first place, just like all their prior albums. And it bombed.
And in any case, it's all irrelevant. The article notes that the same song only made it to number 32 on the adult contemporary charts before stalling and dying. The Dixie Chicks aren't wanted anywhere. They might as well start sending their records to rap stations, since they couldn't do much worse there.