Against AA, any decent hand or connector has a 30% chance of winning. AK will most often be strong enough to 3-bet, and in most cases will be strong enough to call a 3-bet.
It's like choosing between a sleek sports car (AK) and a private jet (AA). AK might turn heads with its style and versatility, but AA is the power move that says, "I'm here to collect chips, not compliments."
Not much difference. There is the argument that AA is worse for flush and straight draws. This is especially true for min satellites when hands can go multi way with 4 or 5 players all in. In those cases suited connectors seem to hit more often.