Eichel has been quiet since the beginning of the season and has definitely not lived up to the expectations when the Golden Knights acquired him last year. After managing only 25 points in 34 outings last year, this year's production has also been quite shallow for the star forward with only 43 points in 47 games.
In no way should Eichel feel obligated to give a fan his stick, though he should definitely take the time to acknowledge him somehow. At the end of the day, fans are the reason why he gets paid a hefty sum of money to play a game.