According to the Guttmacher Institute analysis, an additional 6.3 percent of women rely on the no-cost methods of withdrawal and periodic abstinence. We can be sure women suffer no financial "struggle" to afford methods that rely more on self- discipline than technology.
To be sure, the main objection to the HHS birth control mandate is that it is an unconstitutional limitation on our First Amendment right of freedom of religion. A second key objection relates to the nature of health insurance: it is designed to cover expensive, unpredictable events, not relatively low, routine expenses. (Otherwise, we'd buy insurance to cover our food bills.) But the fact that there are greater reasons than White House mendaciousness to oppose the birth control/early abortifacient mandate does not give the White House a license to make up numbers.