But the NFL does distinguish which team he made his primary contribution to. They even bold their name on the site, under the team. Next to the teams name they have a number like this (5/2) 5 being the number of primary HOF inductees for the team, and the 2 being the HOF inductees that played for the team but not significantly. Even on their HOF page when they list the teams by who has the most HOFers, the Giants(27) have more then the packers (26) but list the Packers ahead of the Giants because they rank them on number of primary inductees {Packers - 21 Giants - 18}
They list the player under every team they gave their HOF contribution to, but not really equally because when they refer to how many HOF players a team has, they go by Primary HOFers not the minor ones.