OneWorld Benefits

I've recently booked award travel on Qatar (through AA Mileage Redemption) and British Airways (through Amex Points Transfer to Avios), and was wondering if my British Airways will recognize/honor my One World status? Would it also be applicable if I booked award travel on Qatar using Avios points?

My profiles on Qatar and British Airways don't show any indications that they've matched to my AA status. How would I connect my accounts together so that my one world status is reflected on Qatar and British?