TBH, I don't think it matters much what you use. Grease/lubes are near religious topics among shooters, car/motorcycle gearheads, bicyclists and probably other groups as well. And the truth is that most of them are more than adequate under anything less than incredibly extreme conditions. I am a mechanical engineer and have looked at lots of machinery failures over the years. I have never seen any lubricant fail in service. Things break because they get super hot from something going wrong or because there was no lubricant present, not because of an actual breakdown in the lubricant itself. When I say super hot I don't mean gun temps, I mean hot enough to show color in the parts and/or burn out heat treatment conditions.
I use a basic white grease from CT that I bought a small tub of for $5-$6 years ago. It will be several lifetimes worth of grease for me and my children. The keys are that the grease will take the temps you are seeing, doesn't wash away/melt/run under your operating conditions and that you use enough. The grease I use has never failed to stay stuck in place on any firearm I have used it, even when things are smoking hot. Unless you are in combat I can't imagine ever running a gun hard enough to cause a lube failure unless there simply wasn't any on the wear points. The only possible exception to this is the AR-15 platform. Grease doesn't work that well on them due to the nature of the wear points and how the bolt moves in the carrier, they like to run really wet and it is possible to get them very hot when shooting a long stage in 3 gun or other action shooting sports. Not full auto hot, but still scorching nonetheless. There I would be a bit more picky on the lube used. On my AR's I use grease to soak the phosphate coating on the carrier and CLP for the front of the carrier and bolt. So far no issues, but I also don't run them really hard for the most part.
If the basic white grease isn't high speed enough for you go to the lithium greases and you will never, ever have an issue.
Mark