I basically ran my original battery like this: 2. New battery pack needs to be fully charged and discharged (cycled) a few times before it can condition to full capacity.
I think you are correct regarding partial charge cycles. I usually shut the laptop down before disconnecting the power cord then plug it back in before powering up. Not sure if this really helps. I plan on buying a new battery every two years or so. I’ve found that two years is about the limit for acceptable battery performance.