Unless you go around slamming your nose and tail into: rocks, trees, the ground, people in line it doesn't make a difference. Even if you do these things it still doesn't make a difference as the damage is cosmetic and easily repairable. I personallly have a gnu with 100+ days and minimal damage and a lib with no tip/tail damage after 75 days or so.
There are pros and cons to a full wrap v. tucked, but at the end of the day a full wrap provides minimally more protection so get the board you want. Remember a full edge wrap does not protect your topsheet from dipshits in line.