I thought there was a separate group for those scholarships...perhaps with the input of some more people (e.g. the donors or their relatives), but I have no reason to believe this. If it's the same committee, I would think they may read more than they should, but overall, I'd say no. They prolly have too much to read now as it is...though they may read through them all and break them up into piles. So, I guess I have no idea.
Don't know if it matters to anyone at this point, but I called today and they said it was fine to submit scholarship materials separately (in this case, 2 months after I submitted my application).