A thin plastic dropcloth isn't much shelter outside FL, esp  where wind is an issue, and can give you a false sense of security.  A woman I knew years ago used one as shelter in central OR (it was an accident that she even had it).  Between the wind and the bushes, it got heavily ventilated.  A tarp is worth the extra weight if you need it.
Two things tend to bite you in the butt:  too cheap and too light.
Sue