"I've already seen some people pegging us as being in the bottom," the defenseman told The Athletic on Monday. "That's just a slap in the face when I see it. Our team is really good. I think we're going to show them we are a good team."
Tavares, the Islanders captain since 2013-14 and leading scorer in seven of his nine NHL seasons, signed a seven-year, $77 million contract with the Toronto Maple Leafs on July 1.
With Tavares, the Islanders won one Stanley Cup Playoff series, three seasons ago in the Eastern Conference First Round, when his goal in the second overtime of Game 6 eliminated the Florida Panthers. It is New York's only series win since 1993.
"People shouldn't be worrying about one person. In hockey, one person does not make a team, at all," Boychuk said. "One guy can't carry a whole team, be the whole team. It was an important player for us, but there's 23 players on a team and you have to hold 23 players accountable to win a season, a championship."