It's not necessarily the ice time...he's finally got a role on the team, he's being counted on to contribute, not just "not make mistakes".That doesnt really have to do with KK playing well.
Hes getting the same 13-14 min he was getting in the reg season, and his linemates were the same from the regular season (Byron and Lehkonen) the first few games.
Hes just playing much better. Its with performance like these that will earn him the coaching trust, and eventually get a bigger role.
Thats how Suzuki went from 4th line winger to 1C.
You're seeing an engaged player because he's being challenged by the coaching staff.
Before being sent down to Laval he was a bit player on the team. Not consequential to winning or losing.
Not the same situation now...
That being said, it's obvious the time off has done him wonders. That's also a big part of it