Not sure what their multiplication rate is but I could envision their population growing quickly in the Northeast. Once they get some nests established, boom it's off to the races. I don't like to take my chances with the "they don't bother you if you don't bother them stuff". I think that is a bunch of voodoo. Just like with bees, "if you don't bother them or swat at them they won't sting you". BULL**** that's a bunch of BS. Every time I've been stung by bees I wasn't doing anything except standing there. When I got stung by white faced hornets that was because I put my hand into a bush trying to get a frisbee not knowing there was a nest. But I've swatted and ran away from bees thousands of times and have never been stung once doing that.
Spiders like to bite people in their sleep for some reason so don't need them crawling into bed, biting, and then running away. I also hope we don't start seeing cross breeding between spiders and get some new species that is extremely dangerous and aggressive.