1995 Camaro started doing the same thing...
The car has 160K miles on it and has just gotten a new AC system and a blower, so that equipment should be OK. However, I might have a charging problem. I still have my original alternator and I am getting ready to replace it because I have noticed my voltmeter is sometimes dropping to about 11 volts at times. Also, I can see my voltmeter "bounce" when my turn signal is blinking. I will let you know if the new alternator fixes the AC Blower slowdown on acceleration, hopefully in about 3 weeks.