We've had bad spider infestations since the Quebec pesticides ban went into effect several years ago (no domestic lawn and garden pesticides = more insects, more insects = more spiders to prey on them). At work, with all the huge floodlights on all night, the spider situation is downright disgusting.
While I'm not "terrified" of spiders, they do ook me out, big time. And just like they get everywhere else, they set up shop in our cars. I keep Swiffer dusters in our cars and give a quick swipe every day just to keep the spiders at bay.
All that said, Swiffer dusters are meant for house dust. I would never use it on car paint to remove dirt and road dust.