Torie, few, if any, insurers cover OTC drugs so it's hardly fair to blame Obamacare for that provision.
Just because something is available over-the-counter doesn't mean that it can't be purchased through insurance with a prescription.
If the insurance does, but I've never had a plan which covered OTC drugs even with a prescription. Heck I remember being specifically declined coverage on a prescription that was written back in 1985, so non-coverage of OTC drugs is hardly anything new. Nor is people who want to stop having a drug receiving insurance coverage trying to get a prescription drug turned into an OTC drug anything new. The only thing new is that the motivation for seeking the change is not economic.
There are often prescription-only versions of many OTC medicines that are covered by insurance. It's usually cheaper to just buy things OTC, though, as the co-pays for the prescription drug usually are higher than the OTC cost. And there are other things that are technically available OTC that most insurance covers with a prescription, like insulin.
If birth control is available OTC, I would expect actual costs to lessen, as there would be more competition. I also would expect that the Obama administration would issue regulations requiring it to be "free" to those who buy with a prescription, if they can do so.