This may ruffle some feathers across all spectrums of play, but I have had an epiphany of late. I believe that adherence to attributes as they are now and by association their modifiers is a chain that is shackling the game of DnD. And I feel it contributes to problems like min/maxing, numbers bloat, and unbalancing of the game in general.
As of 3e and 4e attributes have become vital to the game. Where once they were kept some what in check by lower limits or by generally not being applicable to most characters. With the introduction of skills and the save/defenses mechanic having high stats, not just in your main attribute but in secondary attributes, can be the difference between being effective to the group or being dead.
In terms of effectiveness increasing your attributes was at least, if not more effective than, gaining a level. For example: In 3e a fighter with 18 strength is effectively 4 levels better at fighting in melee than a character with a score of 10. In 4e this is somewhat lessened with the introduction of powers, but having a high score in your main attribute still leads to increased effectiveness. Combined with random rolls or even buying stats we get players who will neglect certain stats in favor of being more effective in their chosen area. In effect the way stats are now we have two power scales in the game. One tied to level the other tied to attributes.