After all, not only was it the only trophy that Gaudreau won in his career, but it could also bring back some glory to the award, as there's a shared feeling that it has lost some of its significance in recent years.
The Lady Byng, given to the player demonstrating sportsmanship, skill, and gentlemanly conduct, has been part of the NHL for 100 years and was originally named after a Viscount's wife.
Naming it the Johnny Gaudreau Trophy would surely be special for players, who could truly grasp the significance of the award, bringing it back to its former glory. In recent years, members of the media have been voting for the player with the fewest penalties in the season, and if it were named after Gaudreau, they would likely give more thought to the meaning of the award before making their choice.