BOSTON — Patrice Bergeron will have some close company in the Hockey Hall of Fame. Zdeno Chara, his Boston Bruins teammate for 14 seasons, was a member of the Class of 2025. Mark Recchi, formerly Bergeron’s right wing, was inducted in 2017. Cam Neely, Bergeron’s ex-boss, entered the Hall in 2005. A year earlier, Ray Bourque, Bergeron’s fellow Quebec native, enjoyed his induction.Despite their ties, Bergeron can claim something his four peers cannot. He played all of his 1,294 games for one franchise. The way the NHL is progressing, one-organization players like Bergeron may become more unusual than ever.Brady Tkachuk said goodbye to the Ottawa Senators, the team that drafted him No. 4 in 2018. After playing 459 games for the Vancouver Canucks, Quinn Hughes was traded to the Minnesota Wild.If Dylan Larkin gets his wish, the lifelong Detroit Red Wing will be the next captain to be moved. If things continue to go sideways with the Edmonton Oilers and Toronto Maple Leafs, perhaps Connor McDavid and Auston Matthews will be changing addresses.Brady Tkachuk to the Florida PanthersSean McIndoe and Sean GentilleThings never approached that point for Bergeron and the Bruins. The club missed the playoffs in four of the center’s 19 seasons: 2005, 2006, 2014 and 2015.“It was never really a question that really crossed my mind,” Bergeron said at Warrior Ice Arena on Tuesday, one day after he learned of his Hall acceptance. “I always wanted to be a Bruin for the length of my career. I was just lucky that it was also something they wanted, as well, as an organization. It was always important for me to stay loyal to this organization that gave me a chance early in my career in my first year.”Two of the four playoff no-shows occurred in Bergeron’s second and third NHL seasons. After the first, the Bruins fired Mike Sullivan, Bergeron’s first coach. Dave Lewis, Bergeron’s second coach, lasted just one year. In his 10th game for Claude Julien, Bergeron suffered a concussion that threatened to end his career. He was only 22.