You can purchase an authentic retail hockey jersey just the same as the teams do. Then you can have that jersey lettered by the same customizer who lettered the teams jerseys. The only difference between your new jersey and a game issued jersey is your jersey was never in the possession of the team. This is the goal of most of the collectors here.
You have an authentic jersey not a replica.
If you want to get technical, wouldn't a backup jersey that a player wears because blood got on his "original" jersey be a replica? Wouldn't every jersey made after the "master" jersey was designed be a replica? I know I am being a bit of a jerk here, but using the dictionary to define hobby classifications is a bad idea.