Depends on a few things. Among those considerations are such practical issues as balance and noise when shooting and they type of cover/brush you are hunting/maneuvering in, and such aesthetic issues such as appearance and "appropriatness" (for lack of a better word).
Personally, I break it up like this...most of the time: With my fiberglass laminated recurve, an old Bear, I use a bow quiver (also an old Bear). It seems appropriate since they were made for each other and the metal/foam quiver doesn't essentially clash with the fiberglass on the recurve. It also has the practical effect of making the bow shoot just a bit quieter, or at least with a duller tone that doesn't seem to bother game very much. However, with my home made selfbows, I prefer to use a side quiver or back quiver rather than a bow quiver. It seems to match from an aesthetic standpoint, and the bows are already whisper quiet and so don't need any help there.
That's my thought train, for what it's worth. Hope that helps some, but it probably confuses things more. You'll get used to that.