yes, I would want to see them, but here's why:
I didn't apply for everything all at once. The first thing I applied for was the Fulbright, and my letters were due by mid-September. For grad school, my LORs still aren't due, so if the original Fulbright LORs were not-so-great, who wouldn't want to know so they could get different ones?
As for the last ones I turn in and don't plan on asking for any more... yeah, it doesn't really matter.