Thoughtful posts, but I would like to make a couple of points:
1. From an out-of-universe perspective, there is no clear reason for Brandon Sanderson referring to the pouch as a bandolier, unless it was actually a bandolier. Remember that several odd, seemingly meaningless details have proven to be important later on--for example, think of Zahel's colorful metaphors and how they were ultimately proven to be essential to uncovering the swordsmaster's identity.
2. As Colby Jack pointed out, it seems unlikely that spheres could be easily carried in anything resembling a bandolier. In addition, Kaladin, who uses Stormlight while in active, rough-and-tumble settings, doesn't ever feel the need to carry sources of Stormlight on his chest.
3. Hoid's thoughts expressly indicate that the bandolier was not an item she would be likely to procure while on Roshar. If it were an ordinary pouch worn across the chest, why would it seem so out of place?