Post-Game Cordials...

[Travelling Man]

Is it kosher to--after the completion of a competitive game--to make yourself available on the "greeting line" to high-five or shake hands with players and coaches. The reason I ask is because theire is growing trend that after games, the players line up and pass each other by to "brother hug" or "fist bump" as a show of "sportsmanship". However, when a game ends I typically retreat to my seat/chair off the far far side of the court and towel up and rehydrate...then usually some players and a coach will make their way over to say to me "good game ref, you let us play fair". Then I stand and shake they hand and greet them likewise as a show of "sportsmanship"/"cordiality".
So, to keep from seeming "stand off ish" should I just line up in the "greet line" post game and do the same as players?
I certainly do not want to appear aloof---nor do I want to appear ingratiating either.
However, when I see games of tv, at the conclusion the refs are hustling/running off the courst with such urgency and haste as if they are running from a "child support judge".
Any advice is appreciated?