I don't have an AKSA (yet), but I've seen this effect even on my mid-level japanese receiver. Moving to a dedicated outlet made for a big improvement in sound.
The reason is simple, IMHO: the loop resistance of the branch circuit causes a drop in line voltage proportional to the amount of current being drawn. In other words, as the amp draws more current, it sees a lower voltage. So you want as low of a loop resistance as possible to minimize this voltage drop.
Most electrical branches are chained from one outlet to another, which can result in a fairly long run. Longer runs of wire = more resistance. Further, each outlet junction is going to add even more resistance, and finally the wire is probably 14-gauge wire which is the minimum size required for a 15A circuit.
So a dedicated outlet, i.e., a single outlet that is connected with a direct run to the service panel, minimizes the length of the run and has no intermediate junctions; which minimizes the loop resistance of the circuit.
When you install your dedicated outlet, use a larger wire gauge, like 12 or 10. Also, choose a high-quality heavy-duty outlet (I'm thinking of the ones that cost $3-$5 as opposed to the ones that cost $0.50). You also might consider a 20A circuit (with 10 or 8 gauge wire), because the slightly higher current capacity of the breaker and outlet means slightly lower resistances of those components.