Do lithium ion batteries discharge faster as their charge cycle count increases?

I know that a battery's total capacity will decrease over time as its charging cycle count increases but I'm wondering if the rate at which the battery discharges given the same load will increase as well.

For example, I'm looking at one MacBook Air with 90 cycles and one with close to 300. (Oddly the 90 cycle battery has a lower remaining capacity than the 300 but I suppose that's a different story.) Given the same workload, should I expect any difference in discharge rate between these batteries?