I don't know I've seen this mentioned anywhere, but there is one application where LLA is probably the best possible choice. For long term storage of loaded rounds in very hot conditions I can see where a LLA tumble lube bullet would be my very first choice. One thing you definitely wouldnt have to worry about is the LLA melting into the powder charge and deactivating or weakening it.
I have a box of 50 loaded rounds of 357 mag setting base down in my very hot garage at the moment. The lube in the bullets is one of my home brew mixes, and I plan to leave them there all summer before I shoot them. I may pull a bullet or two before I head to the range just to see if the lube grooves are empty or only partially full. This is a real concern with a soft traditional type lube.
With LLA you could leave them in the trunk for years without having to worry about it melting out. It's something worth thinking about for folks who say LLA is totally worthless.