System Ruby is not there for you, it's there for the system to make use of (and yes, OS X does ship with quite a few Ruby scripts and a couple of Rails applications). Apple makes no guarantees of keeping this Ruby up to date.
Don't use rvm or rbenv on your production Linux boxes. Use packaged Ruby there.
I've used rvm in production for major sites for years with no problems whatsoever, in fact I believe it is best practise. Do you have any reasons for your preference for packaged ruby?