The LRP I have is in 260 Rem. Lapua Scenar 136L seems to be the most accurate bullet, I use H-4350 and H-414 for about the same result.
It is a 0.7 moa rifle with most any target bullet but the Lapua's put it down to a 0.5 moa set up, under ideal conditions.
The bedding system in the LRP is an engineered product. Suggest the front action screw tightened to ~60 in/lbs and tune with the rear screw, this one is in the neighborhood of 30 in/lbs. This tuning (varying the torque value) of the rear screw will shrink those groups dramatically, values are probably different to individual rifles.
This rifle , with properly torqued action screws and bench rest quality handloads, can be competitive at 1000 yards.