Those are two radically different cameras!
It couldn't have to do with anything else about the image ... for example the low light, noise and grain levels on Public Enemies? Nope its got to be the shutter.
Also ... I think that despite the image flaws (which I am not a fan of for 24p) Public Enemies looks better and more interesting. I actually fell asleep during the Lawless trailer. In fact, I'm pretty damn sure I'd rather watch Public Enemies on VHS "full screen" than Lawless on Red Laser.