So it sounds like you're saying should you send out multiple LORs to your schools, or only the composite committee?
I would say go for the individual letters and the committee letter (i.e. send to both - though don't overload your schools with the committee letter + 6 individual LORs or the like). Personally, I trust my letter writers (who have known me for years) much more than a committee that is going to interview me for 30 minutes. Even including snippets from the letters, I think having the originals will be a benefit. Plus, my writers are writing letters, not 2 or 3 line snippets for inclusion in an uber-letter. They spent the time to write them for the adcoms, so I want to make sure they get read by the adcoms.