I have to agree that it takes much more than a purse to make a person look trashy. It's more about how you carry yourself overall, dress-wise and personality-wise.
Also, if you're looking at a woman's purse and labeling them as being "trashy," "classless", or "no taste" just from that, maybe you should re-evaluate the reasoning behind that logic. You're carrying a Michael Kors hobo afterall, does that make you trashy? No it doesn't. Will taking away a trashy woman's purse make her less trashy? No it won't. The purse doesn't make the woman.