It's not a bad idea to keep those, because I am taking an archetype that has access to some other songs, and even if we double over... there's chances that I might wish to switch songs to another situational type.  Most specifically if I do a debuffing enemy song, it'd still be good to have you providing inspire courage bonuses.  Since Pathfinder makes it much harder to maintain song effects while starting another, especially at lower-to-mid levels, I don't think we'd actually have conflicts so much as synergy.  :-)