I'm highly suspicious of the conventional wisdom around here that hypers/supers avoid significantly more reverberant sound than cards from an OTS distance. I don't have enough knowledge to state this definitively or with any authority, so I'll just leave it at "I'm highly suspicious."
My understanding is that, fundamentally, higher frequencies attenuate more readily than lower frequencies. In a reverberant scenario (i.e., OTS, distance recording, etc.) where higher frequencies have begun to attenuate, the primary frequencies providing detectable pressure levels are less head-on from the source and such (reverberant) frequencies tend to be mid- or lower-frequency (speaking generally here). The frequency response charts for super-/hyper-cardioids show a reduction in dB amplitude response to those lower frequencies at respective
lateral angles of incidence to the microphone compared to more open patterns (i.e., cardiod, subcardioid, etc.). With a more open pattern, those
lateral angles of incidence could likely be impacted more so (have a greater dB amplitude) by reverberant sounds reflecting all over the room/space. Therefore, the conclusion is reached that hypers/supers tend to reduce pickup of highly reverberant sound [again, at those
lateral angles] that could otherwise produce an undesirable recording from a distance.
Obviously, there will be recordings that are outliers in our recording 'universe'. We have heard recordings where hypers and cards were run from the same location with little-to-no difference in overall sound. However, the fundamentals still apply and have contributed to such 'conventional wisdom'.