Art is right about bronze points, its like loading your rifle with a hydra shock.. its letahl but the bullet literally explodes, often just leaving the bronze 'pentrator'. I used to hunt with this all the time, thinking it was better for thicker hide animals (elk). After a catastrophic failure (the animals still jdropped like a rock) I quit using it.
I prefer handloaded 165 gr sierra game kings, however in my "trophy box is a 165 gr bullet that partially shed its jacet when it hit a critter. The animal was Dead Right There, but that seperation bothered me. Never had that happen before. You can actually pull the lead core out of the jacket.
Any 'serious" caliber rifle is still plenty lethal after being shot through trees, car doors, fence posts, etc. If it has enough energy to get out the other side it has enough energy to be a threat to anything ON the other side. That garand was made to shoot a long ways and through a lot of "cover", esp with that old black tip ammo.
Modern sp bullets make that garand a better deer rifle, but here is where I want to mention cannelures and semi autos. the cannelure is designed to crimp the bullet in place. In a heavy recoiling semi you can get bullet set back in rapid fire. Crimp those bullets tight if you are using them in a semi. Crimp them if you are loading a "heavy" caliber. ie DG caliber. cannelures are a 'weak point" in a bullet design, even a DG solid can fracture at the cannelure. But you aren't hunting elephants.
On Remington core-lokt, nothing 'special" about it, its a good reliable expanding bullet, but I've seen them shed thier jacket as well. PMP looks similar in construction. Nice thing about core lokt/pmp/federal red box etc is relatively low price and its all very well made. Rem uses a light copper colored lube/sealerer on the bullet/case mouth, seems like they might feed better, but over time that stuff will get into your barrel thraot/chamber etc.
What you want your ammo to do, is as specialized as any other part of your kit. You don't hunt buffalo with a solid as a rule, but if it charges you might want the penetration the solid gives you. Expanding bullets (hunting grade sp's) wound better than fmj. FMJ penetrates farther in MOST situations, maybe not all. Some loads are better than others. All sp bullets get buggered up with handling, until you get out past 200 yards it doesn't matter much.
My soultion? Mark a mag with tape, thats your ap/softcore/tracer whatever specialty mag. Load all your other mags with milspec stuff. Keep it simple.
As for the carbine, I'd load it with sp ONLY if i was going to use it 'seriously' I'd try to tailor a load that was similar to ball ammo so i could practice cheaper.
Ive killed a lot of game/cleaned a lot of game and Ive never seen a bullet 'tumble". Ive seen cleab shoot throughs, secondary projectiles (broken bone) jacket failures, over gunning and undergunning. Never ever saw a bullet , or found a bullet that ended up backwards in a wound channel.
Many new military bullets attempt to work "like" sp bullets by destabilizing after they hit, like the penetrator in ss109, or the hollow air cavity in 5.45mm soviet.