Braun played 8 regular season games with the Rangers and 19 playoff games. He scored 0 goals and had 3 assists. He's 36, would cost assets and cap space to acquire. He played on the Rangers when they had a significantly different roster: Strome, Copp, Vatrano, Rooney, Hunt, Reaves, and Nemeth are all gone. That's 7 of the other 21 skaters that played for the Rangers last season. It's not the same team, Braun is serviceable as a fine 7th who can play as a 6th in injury time but probably not one you want playing much more. Since December 1st, the guy has been averaging like 10 minutes a game on a shitty Flyers team with no defense.
He would be, at best, a very marginal upgrade over Harpur. One not worth the extra cap shenanigans since, again, if Lindgren is healthy, neither is seeing the ice. Your obsession with being "right" over a temporary injury replacement you are trying to make a whipping boy is pathetic, and I don't need your forgiveness.