I wouldn't even say it's a strategy. It seemed more like a tactic to make the people he caught in the crucifix look as bad as possible.
It's kinda funny that a ref'll call the fight during that, (rather than standing them up even thought basically nothing is happening) but will let Jones pound on Hamil with every elbow strike under the sun for years before he does anything. (And then it's a bizarre DQ.)
The Slice fight was pathetic. 2:30 of circling? Deep stuff there.
Nelson's crucifix - He admitted that he tries to make it look bad in an earlier episode, even so far as to have his corner count the strikes as they land in an attempt to influence the ref and judges.
Jones/Hamil - What other outcome should be expected when an illegal strike ends the fight?
Slice/Alexander - The circling ended up hurting Alexander, it gave the refs a reason to give company's heavily promoted Slice the first round. Apparently Alexander wanted to win the fight by sniping the knee, not put on a toe-to-toe show for Dana and the fans. At least we finally got to Slice win a fight.