I did electric airplanes about 15 years ago, and there were distinct differences in the quality of various brands and models. Airplane usage is very intense, during takeoffs and climbs the propeller is under very intense resistance (effectively stalled) and power consumption is very high. The exact amount depends on your motor windings and your propeller size/pitch, and generally the more current the powertrain will push the better the aircraft would handle.
Started with Sub-C car packs, those sucked pretty badly. Then switched to HeCell 2/3A (~2000 mAH?) NiMH cells, those had good capacity but weren't the best discharge rates, they wouldn't do more than 20A peak or so. KAN 2/3AAs had pretty good discharge rates (could do 30-40A peak) but the capacity sucked (1100 mAH). All of these types of batteries tended to die after a season or two of flying, sometimes less than a season, they just couldn't handle that discharge.
Finally settled on Sanyo 4/5A FAUP 1950mAh cells, they were expensive as hell (2-3x as much as a cheap pack) but could handle insane amounts of discharge and had good capacity. They were rated to at least 45A continuous discharge and in practice could be pushed up to 75A peak loads without issue. For you whippersnappers, that would be roughly a 40C peak discharge, which LiPos couldn't touch at that time. They were also the only battery that ever lasted more than a season without issue, could easily get two and maybe a third with reduced life.
It looks like they're discontinued, which isn't surprising since everything has moved from NiMH to LiPo, but if you were doing really intense discharges like this, they would probably be my cell of choice. I've never seen a cell before or since that could handle that much discharge. LiPos are not always the answer.
LiIon is certainly not the answer for a fast-discharge application like this. They are not really any safer than LiPo, the casing is physically stronger but they will explode/burn when ruptured just like a LiPo, and they do not like high-discharge scenarios. Think laptops, not electric motors. Running a motor this big on a LiIon will end poorly, if you're lucky it will only be a fire.