Yes it does. I weigh 157.5 pounds, and wish to lose a few through my daily exercise routine. Whether or not fat people in Louisiana care, though, I cannot be certain of. Consult a local weight watchers meeting to obtain your answer.
Weight definitely matters. In CA, arguably the least harsh on marijuana laws the difference between possessing quantities under an over an ounce can possibly (not necessarily likely) mean jail time. There are different intervals of weight in all the states which yield different punishments but "weight" is always a huge factor.