I don't believe that statement is true. Firstly, the Obama admin has given something in the neighborhood of 200 plus companies and unions the right to opt out. In addition, certain religious groups are exempt, such as the Amish. And in addition to those groups I believe reservation living Indians are also exempt as they're part of an autonomous "nation".
In any event, the business exemptions you cite were provided to various companies so that they could continue to provide coverage to their employees. If that coverage goes away, the individuals employed by those companies would still need to obtain coverage. And if this is not the case, then the exemptions provide yet further grounds for why Obamacare is unconstitutional because you don't get an exemption from the auto insurance requirement just because you work for a particular company that has ties to the Obama administration.