The Hybrids have a shorter bearing surface. I found this to be true when I tested some .338 250gr. Hybrid OTM Tacticals for Berger in March. I was able to push them as fast as the Barnes 225 TTSX's in my 338 Ultra mag. But being limited to 100 bullets for the test, I could only do so much testing.
When I did the load development for the 168 Hybrids in my 308, I went up in 1/2 grain increments to find what shot the smallest groups. 47.5 grains AA 2520 grouped best in my rifle. I have loaded that brass over 5 times and don't have loose primer pockets and the bolt is easy to open. All rifles are different. Loading manuals are 10% under for safety and liability reasons.
Did you test for your max load and back down for load development?
At 48.5 grains of AA 2520 my bolt started to get hard to lift.
If anyone gets sub .5 MOA accuracy at 600 with AA2520 (that is, no group over 3 inches), they're probably the only one who does. Ball powder's never been popular with top competitors. 168's in a .308 case have typically performed best accuracy wise with IMR4064 or Varget.
I think you'll be hard pressed to get enough muzzle velocity with safe peak pressures from a 20 inch barrel to keep any 168 supersonic through 1000 yards. Same for heavier bullets in my opinion.