To the OP, I'd consider what you have generic ammo. Yeah, probably equivalent to cci minimags. Which I don't have particularly good results with on paper. The minimag segmented perform excellently on groundhog size game with head/neck shots. Regular HP minis would likely do better if accuracy/range makes chest hits more likely. CCI segmented projectiles perform as advertised across all power levels, even at 50 yards, when shot into water jugs and watermelons (that was a fun day).
I do not use segmented on meat-game unless I can guarantee headshots. They just tear up squirrel/rabbit way too much.
Lately I switched to a winchester segmented load, advertised at 1430 or 1450fps. It's smoking hot. Really hammers groundhogs. Very accurate for a HV segmented, much better than CCI in the two barrels I tested them in. Increases effective range (groups must be less than half-dollar) from 35yds to 50yds+, and of course has more energy when it gets there. I poofed a pigeon at over 100yds with it. Great stuff. I'm going to buy a case as soon as it becomes available again.
As far as I remember, aguila HV (HP too, IIRC) has been the most accurate HV ammo I've tested. It's a gold and red box, copper washed bullets. Was priced normally at rural king. For blasting ammo, I'll generally buy whatever is cheapest for the kids to shoot. I personally don't plink with a 22 much.