Yes. Lowering prices increases aggregate demand. Increasing demand in the face of limited supply is going to cause the prices to rise until they reach equilibrium. Prices will go right back to where they are now, the money will just be in someone else's pocket.
That's how I feel about this.
Lowering prices increases aggregate demand
Only assuming there is demand not being met. Far as I can see there is NO reason for increase demand since the existing demand is at saturation point. Their may be increases in aggregate demand over time, it is NOT, however, a short term outcome.