Non-bards aren't prevented from telling stories or singing songs, it's just easier for bards - as it should be, the RP value is worth it. And I've seen bards perform at the Rhaps or Scarlet Whip (can't remember the name) on too many an occasion to write it off. All of my bards had some things in their repertoire (assuming they made it past 10) including dances, songs, and stories all. My last bard went to Antioch specifically to learn from their bard. and the Bard's guild could and should sell songs/stories to all members.
I don't see why it should be spread when non-bards can do these things just fine. If they want the specific mechanic, they should choose the class with that mechanic. If not, and they just want a big fish tale or two from backstory, they can alias or nickname that in, no big deal. Bards are professional actors, singers, and performers. Why take away their biggest ribbon, the one that has so much of their class flavor?
Might as well play an arcane trickster or thief-mage, then. I really want to see Garrett's Rest XP in, and to keep the spirit of bards alive. Nienne worked hard on them. And I think roleplay aspects of classes are absolutely as important as mechanics. We shouldn't give up what makes this game a story (heh) even a little in a roleplay insensive game.
I feel that you'd be taking away the soul of the bard if you do so, and leaving just the bones behind, which makes the class less of the RP treasure it is in exchange for something that people can already do. The experts should be distinguished as experts. If everyone is an expert, no one is, and there goes the bardiness of the bard.
PS: I can't even make a TL;DR concise.