You're obviously confused about Bjorkstrand.
He's never had to rehab his value, he's consistently been an excellent player - a guy who scores on any line (which makes him more valuable) and makes any line better. One of the best forecheckers in the league actually. He and Gourde together are going to be territorially dominant as a third line, if Tampa uses them that way.
He was traded from Columbus in the peak of the league's cap crunch, after teams were fully spent, in a panic move to clear salary after the Jackets unexpectedly landed Gaudreau. It was an incredible steal, and many people pointed it out at the time.