Not commenting one way or the other on the flying side of things directly, but addressing the quoted question.
I suspect (with no knowledge) that it would be the non-statused who contribute the most.
The cash cow is the selling points to partners. Other than the relative minority of statused FF chasing points, the vast majority of points will be sold to organisations who then pass them on to non-statused members. Even with a lower average earn than a "serious" points chasing status holder, the vastly greater number will make the total points that QFF sell for this group higher.
Having sold the points, then comes the margin (second bite of the profit cherry) on redemption or breakage. The best profit on removing liability for outstanding points has to be breakage when inactive account points expire. Status holders are not going to be likely to be inactive, so the no -statused are more profitable in this area. Redemptions are then next. Whilst we place different values on rewards (premium cabins, upgrades, or toasters), this is not relevant to the accounting cost to QFF of providing the benefit. I will assume (but without justification) that QFF has competent accountants and cost controllers, and the internal costs are roughly equal on a per-point basis to the QFF program (possibly excepting some very cheap end of line toasters which are probably obtained for peanuts). On that basis, overall profitability of the two groups comes back to sheer gross volume again. Status flyers get a bit of a leg up in the redemption stakes, as they have a source of points from flying to add to the CC and partner earn, but I suspect this still leaves the bulk of points (and resultant margin) with the non-status flyer.
So, while QF itself probably makes a disproportionate share of its revenue and profit from its top bracket of "status" flyers, the QFF is probably the other way around.
Just my uninformed opinion.