There is a 500 q-point & q-mile per segment minimum, regardless of the number of redeemable miles you earn. I know this for a fact on BA where a short hop in discount economy earns you 125 redeemable miles but 500 q-points and 500 q-miles. I suspect that this is also the case on other miles-earning OW flights (i.e. IB economy but not CX economy < H). I'm not sure about the 125 mile specials within the Canaries, but I would suspect that this is the case even there.

Michael