I'm a well read grad student who's bluntly honest about all things, although I try to be most honest about myself.
DD holds off The Purple's Man psychic hold because he can't see him, and wraps him up to stop him.
Um.
According to the Marvel Wikia, these are The Purple Man's powers:
"Mind Control via Pheromones:Killgrave possesses the power to sap people's wills, allowing him to command people by simple verbal suggestion. His power originates in his skin cells, which have been mutagenically altered. The sites of pheromone production and other secretions in his deep dermis produce numerous psychoactive chemicals, which, when inhaled or absorbed through the skin, induce in that individual an overwhelming monomania that renders him or her completely without self. Killgrave can simultaneously subjugate as many people as are present within the range of the psychoactive chemicals he exudes. He has been known to enthrall crowds of over 100 people.[52]"
Sound and Pheromones? Quite frankly, it sounds like poor Matt would be more susceptible and not less. Not to mention wrapping him up wouldn't stop him if it was based on vocal suggestions. I would buy that Matt has a stronger force of will than most - he does - and that held off The Purple Man. But still? Wrapping him up in a flag wouldn't help.