If the jacket displayed the logo of a more respected brand (such as the jet approved CDW), then would everyone still want to see the label removed? And just in case you think there are no jet approved brands with highly visible labels, here ya go.... Would this be your punishment for buying CDW?
I slash all the tags out of the inside of my gear and sand down the bottom of the soles of my shoes lest any trace be left by an errant footprint in the sand of the brand I was wearing. I remove all back pocket stitching, and any patches that might be present. I have a special melting iron to remove the YKK label from my zippers and any branding from the back of rivets on jeans. I don't want anyone to know what brands I'm wearing even if I die.