Hawk 37
If I had not read about that accident and its causes I would have doubts now, because what you say makes sense.
Let me think while writing.
Let us assume the airplanes (swept and straight wing) are at 50 ft above the threshold, idle power, and Vref. So they both are at 1,3 Vs, they have the same stall speed margin.
However, the angle of attack still plays a role in lift procuction. In a swept wing airplane, for each extra degree of angle of attack you get less extra lift than in a straight wing airplane. Both airplanes are equally away from stall but they have not the same ability to manoeuvre, to change trayectory. The swept wing CL-AoA curve is flatter. Margin to stall is one thing, ability to change flight path is another. By the way, the swept wing has a higher stall angle of attack (you can see it comparing both curves) I am not sure is this has an influence, too but I don' think so.
If you can take a look at the curves, the swept one has a lower CL max but a higher CL max AoA. Less CL means less lift for a given speed. So the conclusion is that the swept wing airplane has less CL available than the straight wing plane.
As a matter of fact, if you are making an idle landing in a swept wing airplane you better have a fiew extra knots (LDA permitting). Usually, the reason for an idle landing is that you haven been able to decelerate to VREF. But if you just reach that speed when about to flare still in idle...