To me its a matter of convenience. Instead of carrying three dedicated cues for playing, jumping, and breaking, now you only carry two cues in your case.
I can jump or break with my playing cue, but I don't like to reshape the tip from flattening out after breaking/jumping. So, I stick with my break/jump which has a phenolic tip that doesn't deform.
There were a controversy over G10 tips whether they cause cracks on balls, so BCAPL banned the use of any phenolic tipped break cues for a few years. APA league doesn't have such a ban on break cues, but ban dedicated jump cues. So if you want to jump in the APA, you'll have to use your regular playing cue.