Such a cervical check too often means nothing, anyway--I don't really consider it significant in terms of OP's question of refund. I do think it was a silly and maybe inappropriate thing for the mw to say, tho!
The only thing that troubles me about this story is that the mw did not come after the birth...and did not come for 6 days. Yes, I've missed a few for precipitous labors/late notice--but I consider it very important to come asap anyway, do newborn exam, help w/cleanup, make sure mom and BF is all good. And I come at 24 hrs, too, and again at 72 (this can vary, depending on who gives birth that week....). Of course, that info is on my contract--so people would have grounds for a complaint and/or some refund if I could not live up to that (or at least send another mw in my stead).
So, while I do not think you have grounds to ask for a refund based on missing the birth, you MAY have some grounds for asking for a couple hundred $$ based on lack of pp care--but I don't know what agreements were in place, so it's hard to say. I'm a believer in clear and specific contracts in this life--for all business purposes. Some people are out to cheat others--I would say that most are not. Regardless, sh** can get mighty stinky in the absense of clear contractual arrangements.