I am not a fan of randomly assigned numbers. If my character needs to be the high wis character,  and I draw my stats blind from a hat, I could end up with 7 wisdom. On the other hand, if you roll and we are able to assign the values as we see fit, that's a different story  (assuming you don't roll all 7s anyways). I don't understand the blind draw system.

Basically, if we're to do a blind draw, I would have to make a character to fit my stats (and hope I don't draw high int, con, low dex, str). If we are to roll, my preferee method would be we roll 4d6, drop 1, assigned as we please. Otherwise, any preconceived characters are out the window.