I'll have an article on these for Very High Power Magazine, but that won't appear in print for a few months.
What AmMark is selling is their own loading of the M1022 bullet design that was a modified PPI (French). AmMark got the bullets from ammo they pulled down that was originally produced by Lake City. Apparently AmMark has had these bullets for quite a while, with all the various projects that they had underway, and finally got around to doing them into ammo.
The other M1022 bullet mentioned was the design proposed by Winchester. The Winchester contender was a solid brass bullet with a bored-out tip to cause the Center of Gravity to be farther back in the bullet than it ordinarily would. Since the Winchester design wasn't picked, they sold off the ammo they had left over and the remaining bullets. Those bullets were loaded by HSM and sold as match ammo quite some time ago. Also, the now defunct TTI Armory had a match load that utilized a very similar bullet, so the TTI & HSM loads look virtually similar and those look a lot like the WCC version of M1022.
M1022 was originally designated as a COTS acquisition. Circa the early 2000's. It had to be a Commercial Off The Shelf product, the Army didn't want to pay to develop something from scratch. After something like 10 years of development of a COTS product, Army stopped funding it as it was just taking too long. The PPI design was modified several times during development of the M0122 so it really was no longer a COTS type of acquisition.
M1022 was supposed to be merely a match grade .50 loading with no pyrotechnic load, no incendiary, no tracer, no HE, etc. A match grade ball load, basically. It was to be for use in training, where the Mk211 wasn't wanted (frag potential of target pullers in the pits, for example) and for tactical uses where the Mk211 wasn't needed or wanted. While the original PPI design was a super armor piercing bullet, the M1022 offspring wasn't required to be AP. Its core was, in fact, just zinc, not even mild steel. As zinc corrodes just like steel, the bullet had to be coated to prevent deterioration.
The original PPI design was unique in that it wasn't a traditional core of some kind surrounded by a copper jacket. It had, basically, a copper cup instead of a jacket and the core sits in this cup, so much of the core is not covered by any kind of jacket. To make this work, the core is roughly mushroom shaped, a short stem (thinner core section, held in the cup) with the rest of the bullet just being exposed core. Difficult to describe, but I'll have pix in the article to help.