After posting the above, it has occurred to me the I should add a "supplement" to the information concerning British and Empire bandoliers.
One other type of bandolier one sees in Boer War photos - probably just as commonly as the P'88 leather bandolier - appears to be a "web" bandolier, but is actually a relatively light and flimsy "refill bandolier", which was used for packing, shipping and distributing .303 cartridges in lieu of the traditional British method of packaging rifle cartridges in paper-wrapped 10-round packets. These refill bandoliers were not designed to be used in the field as an ammunition carrying bandolier, but during the Boer War they got extensively used in that way.
Here are photos of two Canadian servicemen in South Africa with ammunition in such refill bandoliers ... if you look closely you can see that the chap on the right actually has two of them ... one worn over top of the other -
As you can perhaps make out, these were some sort of canvas or similar fabric, doubled over and then sewn across multiple times to form individual pockets for cartridges, which rode in the pocket somewhat loosely.
Despite being so prevalent in period photographs, this type of bandolier is not offered in reproduction form, to the best of my knowledge ... likely because it wasn't an official item of field kit, and because it was actually not very effective as a field bandolier, because the cartridges were actually quite easily lost from the jostling they received on the march. (Indeed, the Boers actually kept themselves well supplied with .303 cartridges for use in captured rifles by simply gathering them up along the marching routes of British columns!) Field modified examples of such refill bandoliers with flaps attached to help retain the cartridges in place.
I have often thought that this type of refill bandolier would be relatively easy to reproduce, given the correct dimensions ... although I must confess that I don't know if the width was continuous all the way around, not what method was used to attach the ends together ... Here is a detail cropped from another Boer War photo showing a member of the Cyclist Corps wearing two such refill bandoliers, without any cartridges in them, from which the light construction is readily apparent -
The photo that detail was cropped from is actually quite delightful, showing two cyclists with a tandem bicycle -