80965 - 168 grain A-MAX TAP Precision –– Expanding bullet with excellent accuracy capabilities. Excellent big game bullet.
80975 - 168 grain BTHP TAP Precision –– Match/Target bullet. Legal by Geneva Convention Treaty. Non-expanding open tip match bullet. Not suitable for game animals.

http://www.thegunzone.com/hague.html

On 12 October 1990, another Memorandum of Law from Parks at the request of the Commander of the United States Special Operations Command (USSOCOM) and coordinated with the Department of State, Army General Counsel, as well as the Offices of the Judge Advocates General of the Navy and Air Force, concluded that:

"The purpose of the 7.62mm "open-tip" MatchKing bullet is to provide maximum accuracy at very long range. … Bullet fragmentation is not a design characteristic, however, nor a purpose for use of the MatchKing by United States Army snipers. Wounds caused by MatchKing ammunition are similar to those caused by a fully jacketed military ball bullet, which is legal under the law of war, when compared at the same ranges and under the same conditions. (The Sierra #2200 BTHP) not only meets, but exceeds, the law of war obligations of the United States for use in combat."

Colonel W. Hays Parks, U.S. Marine Corps Reserve, Retired, served in Vietnam in infantry and judge advocate assignments and was a legal adviser for the 1986 Libyan air strike. An expert with small arms, he has trained and qualified as a sniper. He has lectured on rules of engagement at the war colleges and staff colleges, the Navy Fighter Weapons School, and Naval Strike Warfare Center and authored Deadly Force Is Authorized.

The only differences I can find are:

Hornady 308Win 168GR A-Max TAP Precision #80965 Nickel Case

Hornady 308Win 168GR A-Max #8096 Brass Case

Same ballistic information published on both loads. Nickel case version cost more.

I've shot several feral hogs with the brass case version out of a DPMS LR-308. My experience is it's an extremely accurate and deadly round.

That's my 2¢ on the difference of the two.