Why not just give BSV ?

because if I give BSV as loyalty point they can spend anywhere, if I give my own token they can reuse in my shop or sell for BSV. My token costs nothing to me, but BSV does have a cost. However giving BSV would also be an option. Why don’t you expland more about your suggestion

I believe BSV has more value then the token you would create.
Your own token maybe needs more promoting then when you would use BSV.
As a customer i would like more to receive a bit of BSV when i buy at your shop than an unknown token.
You could advertise, buy at my shop and get some free BSV. I would try this if i had a shop.