I've compared copper plated vs. fmj
Newspaper is not meat or gel, but when I work up loads I shoot 45acp, 9mm, 44mag and 380Auto over a chronograph into stacks of newspaper (rifle too, but not copper plated). I've shot several thousand copper plated and fmj bullets of the same caliber and powder charge side by side, then unravelled the newsprint to recover the bullets. After several years of shooting and recovering thousands of bullets, the copper plating has NEVER torn off the core. The entire bullet deforms, but it doesn't lose the copper plating. The whole bullet usually stays in a single lump unless it gets hit by the next bullet.
FMJ loses the jacket 5 to 10% of the time. It usually opens up larger than copper plated and gets much more jagged, especially when it hits other bullets already stuck in the paper.
One important distinction is the lead core. Berry's and Xtreme tell me that they use a lead alloy for their copper plated bullets, so it's not soft lead. Zero and Hornady use soft lead for their fmj cores, so perhaps it's not a surprise that the fmj might deform more than copper plated.
I also hunted deer with copper plated in 44 magnum in 2005, but the bullets passed straight through the buck and were not recovered. From that experience I will recommend soft point or hollow point bullets for soft animals like deer. Bear or wild boar or elk or moose would be different.