Many of the ammos people have mentioned (Aguila, CCI, RWS, Magtech) I have never seen in "bulk" quantities, only in boxes of 50 or 100. What I consider "bulk" would be boxes of loose rounds of 200+ rounds. That would be the 3 types of Winchester bulk (222, 333, & 555), Remington would be the Goldens & Thunderbolts (~525 rds.), Federal (550) and your "buckets" of about 1,400 rds. Because of the loose packaging, both bullets and brass are more likely to suffer deformation, limiting accuracy. I have shot all of the ones mentioned above but NOT tested for accuracy. All have had "failed to fire" at times in various guns, bolt rifle, semi-auto rifle, and a SA revolver but none stood out as particularly troublesome.
The only one I will make a negative comment about is the Remington Thunderbolts, and I don't know if it is the powder or the bullet lube they use (or both) but they have a bad habit of leaving a lot of debris in the barrel and on my fingers from loading them.