For a start, most abortions don't require a surgeon. They're either medical (ie pills), or a simple outpatient procedure (performed by someone qualified, but not a surgeon) for the first trimester at least (not an HCP - but I have read around the subject and I'm aware of my options should I ever need them)
Abortions requiring a surgeon are generally later term abortions, and the women having those are not using them as contraception.
Lots of people do lots of things that cost us money - rugby players, cyclists - should anyone pay for medical care required as a result of having fun or just women?