I'd say he did give his stars minutes.
There is a difference between being number 1 on your own team and getting good minutes for a stars, someone will be the number one on any team, need to be one.
In 2002:
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Sundin was 47th among forward for ev toi per game, getting Shawn McEachern minutes, in total ice time per game he was 55th.
For a 30 years old that look like could be a bit of an horse and did play 21 minutes like a star not so long ago and was 12th in the nhl in points from 00 to 02, without an other big center on the team, that can feel low.
had to share duties with a potent second punch.
Hull-Shanahan recently talked about, , that said not sure about Yzerman-Fedorov... Yzerman had quite the year and that Wings had Sheppard, Carson for a while.. they were the numbers 1 offense in the league, cannot be not quite balanced. I was going to say Jagr-Francis on the pens (second best offense) had quiet year relative to what they could do, but again what about Lemieux season considering the potent second punch.
Maybe when the gap is big enough (lemieux vs jagr line or Yzerman fedorov at the time, did not change how it went versus the sundin-sakic....)