12/17/2010 05:12 am ET Updated May 25, 2011

Did Jessica Simpson's Dad Diss U.S. Troops?

A singing ensemble of U.S. combat veterans, the 4T Troops, were allegedly barred by Joe Simpson from performing on TV alongside Jessica Simpson, 30, with a source claiming to Page Six that her team felt their camouflage attire wouldn't look good on camera next to the decked-out beauty.

Simpson, in New York City with her boyfriend Eric Johnson, was taping a PBS holiday special on Thursday (a broadcast on which she'll sing tunes from her upcoming album) when the alleged snub occurred.

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