I don't remember using anywhere near 2-3 litres of fluid to be honest. I don't know what the capacity of an empty system is but I would be surprised if it were more than 1ltr. We change brake fluid regularly at work and I do not recall having any issues bleeding through an ABS pump. Possibly only because we've never had a completely empty system? But, I fitted an ABS pump on a member's Z3 a few years ago and bled it with no issues.
Tony.
Tony.