Plenty of good points here. But the one thing often overlooked is the fact that your paper dive log can actually save your life (or locate you in a worst case scenario). Emergency services has information on when your last dive was, how deep, air composition, water temp, dive time, etc. This information can be the one thing that gets you to a recompression chamber faster than normal or it could dictate the level of first aid care that is administered. Time is critical in the rescue realm.
I try to encourage my computer driven students to always transpose their pc dives to their hard copy at the end of the dive for this among several other reasons.