I don't think the general public really knows what any of these guys' day-to-day duties actually are. By outlier do you mean giving NYR giving player development positions to a higher number of former players? Because definitely not.
Tampa has Stacy Roest and JP Cote (27 NHL games).
Florida has Bryan McCabe, Patrick Hornqvist, Tomi Maki, and Mike Ryan.
Nashville has Rob Scuderi, Nathan Gerbe, Mark Borowiecki, and Pekka Rinne.
Minnesota has Derek Stepan (hey we know that guy!), Cody McLeod, Brad Bombardir, and Matt Hendricks (who is also the Iowa Wild GM).
Dallas has Rich Peverley.
Carolina has Peter Harrold, Daniel Bochner, Kevin McCarthy, and Jason Muzzatti.
Washington has Steve Richmond.
Of the above guys, SC winners as players are Hornqvist, Bombardir (32 RS games and 1 playoff game with NJD in 1999-2000), Scuderi, and Peverley. I wish I had the mental fortitude to go through the rest of the league but I don't think it really matters. 3 actual SC winners are employed across the 4 teams I looked at. I'm not counting Bombardir here. Most weren't stellar or remarkable NHLers. f***ing Mark Borowiecki is doing this stuff.