Wow, who knew my dumb question would bring together such good info on the topic

Thanks to all those offering info, especially folks like Charlie99 and NetDoc, great stuff.
I went and got some feedback from a couple LDS owners today. Here are some of the points that really stuck with me, some of which have already been covered. I have no idea if these are wrong or right, but they stuck in my head and I thought I'd throw them out into this interesting discussion:
1. It's hard (maybe impossible?) to do multi-day/repretitive diving with tables only. The tables will show you in deco way before the computer that actually took the ride with you will.
2. Based on the first point, either dive computers or dive tables. On multi-day/repetitive dives, if you begin on a computer, you can't switch to tables.
3. Tables are based on theories, computers are based on tables. There is no proof yet that one theory is better than another. The Haldanian theory has been in practice longer than the RGBM-based theories.
4. Due to low occurance of DCS, there is not enough data to prove that RGBM-ish computers are safer than Haldanian-based computers.
5. Stats for DCS are about 1 in 28,000 worldwide. With most causes being connected to ascending too quickly and dehydration. But not one algorithm over another.
6. Computers will and do fail/glitch at times. See point #2.
What do you think of this info?