That's part of it, certainly, but it's not all of it. The Woodley that fought Lawler or Dong Hyung Kim would actually chase you for the finish, whereas when Woodley had Paul hurt, he didn't really chase him, he didn't attempt to really end the fight.
Also, Woodley, despite having power, is still an MMA fighter, where kicks, clinchwork with elbow and knees, wrestling and submissions are part of his toolbelt, tools he couldn't employ in a pure boxing setting. Woodley even at his best, was known for the threat of his wrestling, not predominantly his striking, but if he had you hurt, he would go for the finish, an instinct clearly lost in my eyes.