Hmm..I'm going to have to disagree on this one. I'm pretty sure that no place worth working at would place even the slightest amount of value in the weight of the paper you use. It's what you put ON the paper that counts. I mean so long as you don't print your resume on used toilet paper, it's gonna be fine. People are interested in what sort of qualifications you actually have, not your paper choice. Honestly, I have known hiring managers who would take off points for this kind of superfluousness. Because (depending on the job of course) it can demonstrate a lack of understanding of real priorities.
Unless you happen to be applying to a paper-making artisan's guild or something. Then yeah, I guess the paper itself might as well be your resume.
And lets not forget generic template #42: http://pjreddie.com/static/Redmon%20Resume.pdf
But no seriously, that guy is legit. Like actually though.
As a wise man once said: Go big or go home.
As a different wise man said: Fake it till you make it.