> The disadvantage is that there are some leftover pills most of the time. E.g. you need 30 pills and there are only units of 20 available.
This is the exact reason why they count pills. You have a prescription for X pills, you get X pills.
It's been a while since I've had a prescription filled, but I think that in New Zealand it's the same. Most prescription drugs like opiate painkillers or antibiotics are counted and bottled.