No, this is false:
Not really. Most of Cain's fights are standing, although he does go for the occasional TD/GnP. Wherever the fight may be(on the feet or on the ground), there is a very, very good chance Cain is beating his opponent to a bloody pulp.
Just staying the course? Not attempting sub or something? Cain is always active and is always going for the finish. He never stays the course, the guy has close to an 85% finishing rate.
The .gifs I posted pretty much completely disprove what you said about Cain's fighting style.