What the Hamm-ster does is to tell you some information and then leave out any links that you might follow to find out what's really going on. Without the links it's much easier to just 'take his word' for it and continue on believing what makes me feel better.
Indeed, without the ACA health insurance wouldn't be mandatory, without mandatory insurance premiums those without insurance would be paying $0.
Premiums Higher Under ObamaCare is the headline that Sham Hammity is using so that people believe that their premiums would be lower without the ACA.
So yes, Virginia there is a Hammity clause. But it's a joke of an argument and simple proof of how evil Sham Hammity really is.
Here is a link to the report he is referencing . You'll find that it doesn't exactly back up Sham's version of the 'troof': http://www.nber.org/papers/w20597