Yes it does, just keep in mind that it doesn't stop political calls, charities, non-profits, and most certainly not criminals from calling. Might want to Google 'call blockers' as well.
Similar experience, ID said AM MED Diabetic, did not pick up and no message left. Interestingly, day before there was a call from 609-920-5093 (ID was Natural Life). Similarity of numbers suggests to me that probably a telemarketing call center