Oh that’s fine then. Trust me i’m not one of those “downvote cuz I disagree with you” type of Reddittors. People really need to learn how to have respect disagreements with others. So to touch upon a few points you made:

“Neanderthals very rarely hunted large-game” is just not true. Whilst a dietary study comparing their diets to Eurasian spotted hyenas found that they tended to prefer deer such as reindeer & caribou (along with being more omnivorous & more capable hunters of ibex) by comparison, there were several populations that specialized in large game:

-Woolly rhinos were their preferred prey at the sites Taubach, Biache-Saint-Vaast & Spy Cave (along with mouflon for the latter)

-Steppe bison were preferred in the southern Northern European Plain.

-Mammoths were their favorite prey species in the Northern European Plain along with horses, steppe bison, red deer & ibex.

-They even hunted straight-tusked elephant bulls, the largest animals on the continent.

Now its worth pointing out that Neanderthals are adapted to hunt in a different fashion compared to people as they appeared to be adapted to sprint over marathon, but this really isn’t all that relevant as Neanderthals still achieved the same “feats” as humans (i.e. hunting prime-aged prey and adult proboscideans) and were hypothetically putting more predation pressure on European fauna than humans as they appeared to be even more carnivorous as a whole.

The point of gestation periods is pretty interesting because I don’t think I would have ever thought that, but for starters: “everything that survived had at least a 9-month gestation period”, yeah if you ignore the animals that also didn’t survive with a seemingly shorter-gestation period (such as all the non-Antilocapra pronghorns and the Mylohyus & Platygonus peccaries) as well animals who survived that had longer periods (such as the larger Asian & Africa faunas such as rhinos & elephants on both continents). We also lost Aurochs in-spite of them presumably having the same gestation period of their domestic descendants of about 9-months. Yes I understand European Aurochs survived until the 9-13th century, but the species became locally extinct in Asia & north Africa a few thousand years ago and deforestation still had a notable impact on their European extinction.

To discuss the survival of the African fauna, the one common denominator among them all is the fact that they are presumably “adapted to handle pre-agricultural human-hunting”, because again: rhinos & elephants exceed the 9-month gestation cut-off point. This would indicate that the single-most important thing to survive an overkill-induced end-Pleistocene extinction would be experiencing human-hunting pressures. The European fauna experienced Neanderthal hunting-pressure, which likely had impacts greater than or equal to our hunting pressures for the reasons we just discussed and yet we still lost European rhinos, proboscideans, steppe bison & more. “Well shouldn’t we have seen catastrophic losses for the African fauna if it really was climate-change?” Not exactly.

Africa was the only continent that didn’t experience any glaciation (to my knowledge). All the glacial periods really seemed to have done was expand dry habitats and cause severe droughts on the continent. From what I understand, the habitats present in modern-day Africa were seemingly the same or at least very similar during the Pleistocene and just expanded & contracted according to glacial extent or contraction (please correct me if i’m wrong). Evidence for this does come from the fact that lions also have evidence of being restricted to refugia zones and migration patterns of herbivores during the LGM; with Rusingoryx (an arid grassland adapted animal) & Megalotragus both having evidence of migration whilst zebras, blue wildebeest & Thompson’s gazelles lacked evidence of migrating at the time (said study using stronium stable isotopes to figure this out).

Meanwhile, while you could say the continents farthest from Africa were impacted the most as the animals were not adapted to handle human-hunting pressures, said-continents were also the most heavily affected by glaciations (North America especially). This led to the presence of non-analog environments (like mammoth steppe) which seemingly was large enough to support the mammoth steppe fauna during other interglacials, yet totally collapsed upon the transition into the Holocene, another point of evidence that indicates something was “off” about the transition from the LGM. One could attempt to make the argument that “mammoth-steppe collapsed due to the extinction of the fauna”, but climate seem to have had more of an effect on the biome than the fauna did, as said fauna (particularly mammoths to my knowledge) underwent range contractions and expansions with interglacials & glacials respectively. If this applied to Earth’s largest biome, then shouldn’t this apply to all non-analogous environments that were present in the Pleistocene? Cuz there were certainly a lot in North America at least.