If the bullets had fallen apart at the sub-2k velocities at which they were tested, Bad, I'd be throughly concerned!

Like you, my primary concern is bullet integrity at ranges under 200yds, and velocities well over 2000fps.
For reference, I've pared down my hunting bullets to just three designs at this point. For two of my rifles, I use Speer Hot-Cor bullets. Both of these rifles have sub 2700fps muzzle velocities and are close quarters hunters. One is a 30-30, and the other is a medium bore chambering. For my longer range rifles with muzzle velocities below 3000fps, I use Nosler Ballistic Tips. Above 3000fp mv, I use E-Tips. It's pretty simple, and I get excellent results on game.