Am I right to not post my relationship status on facebook ?

[Jerry]

First of all, my girlfriend does not even use facebook, so for that reason alone, I do not post our pictures together on facebook.. If she does not want her pictures online; I am certainly not gonna put it.

Second of all, I don't know if this makes me old fashioned but for some reason I feel like it is childish to post your relationship status unless married.

Everytime I think of posting it, the following thought comes up:
--"am I posting this just to see how others will react"
---anyone on facebook who doesn't know my girlfriend, isn't a very close friend and therefore does not need to know who my boo is.