I ran error budgets for the 2 cartridges the OP currently shoots and the PRC. I thought the results were interesting so I'm going to over share.
There is fairly broad agreement at this point, and it's straightforward to demonstrate, that the error budget for ELR includes Dispersion, velocity spread, BC spread, and uncertainty in the aiming point. For my personal Rubik's Cube, the other 2 sides are conditions and spotting equipment.
These plots are produced by importing 3 range cards for each cartridge from AB Analytics into Excel. The range cards are for the baseline, -100 fps, -10% BC. The differences between the range cards are scaled for the assumed velocity and bc spreads. Each of the first 3 error budget components are rolled into a RMS estimate. 4X the SD is used to estimate ES. This is a model I use to prioritize effort, it doesn't "prove" anything.
QL was used to estimate the performance of 3 cartridges. I assumed they all used a 30" barrel that's readily available from Barrel Brokers.
The first was the 300 NMI with a 245 hybrid. I assumed N570, a midlife start pressure, and added powder until the model reached 72,000 psi. The pressure level was selected because it's what the model gives for internet loads "with no pressure signs". The predicted velocity was 3150 fps. For the error budget, it was assumed the gun would put 20 shots into 0.75".
The second was the 300 PRC with a 230 ATip. With H1000, the same start pressure as the NMI, and 67,000 psi peak pressure, the prediction was 2950 fps. This is the modeled peak pressure I run my guns at. Lapua and boutique brass will take more but my experience has been much above this degrades bullet performance. The accuracy of this gun was also assumed to be 0.75" for 20 shots.
The third was the 300 WSM with a 220 hybrid. H4831SC, 67,000 psi peak pressure, 2825 fps. The accuracy was assumed to be 0.5" for 20 shots.
20 fps velocity spread for 20 shots was the base assumption. This can be reached by advanced hobbiests. It's pretty much trading the SD of commercial match ammo for the ES. At this level, velocity spread won't be your biggest problem.
For the NMI, the error budget looks like:
RMS calculations are intended to estimate what is likely to happen when multiple effects are contributing to an outcome. The point of this discussion is to illustrate how different components take their turn dominating the problem.
If you'd like to confirm or track BC spread, that 2000 - 2500 yards range is a good place to select bullets and retire barrels. The idea that bullets won't take the pressure your brass will can also be tested out here. The shallower the backstop, the greater the illusion that the vertical spread is smaller than it actually is becomes. Conditions are a problem as well. Initially, it'll take a truing conditions kind of day to suck it up and retire a barrel. After seeing the results of a few barrel replacements, it'll get easier to justify. Having a second gun that you regard as subordinate to use for comparison also helps see when it's time to freshen up the hot rod.
Zooming in the NMI to 1600 yards:
At 1600 yards, the shortest path to more hits might still look like improving the precision. The reality is all 3 contributors are about the same size and the other 2 will keep the vertical spread up. If there are 3 contributors to spread and they're all the same size, the RMS estimate will be 1.7 instead of 3. If one of those contributors completely goes away, the RMS estimate will drop to 1.4.
Comparing the other 2 cartridges to the NMI:
The relatively small differences probably were not intuitive to most. From this perspective, more velocity and higher BC only shorten the TOF. That's important, but it's not as strong an influence as shot to shot variations. This is what the 7 saum guys are up to. It has a little more performance than the 300 WSM, but the real point is for hobby use the 300 WSM works fine.
Zooming down to 1600 yards, the assumed better accuracy of the 300 WSM lets it hold its own to 1200 yards.
So far, the 300 NMI is still "better", even at just 1600 yards. The next issue is the BC variation isn't just the bullet. The barrel is a contributor and becomes the dominant contributor as it ages.
For the high pressure double base powder fueled NMI, 2%, 3%, 4% BC spread could be 150 rounds, 300 rounds, 400 rounds. My straight 300 Norma went 550 rounds before flunking the 2300 yard test. Only the first 250 rounds used double base powder. The rest were Retumbo. Plotting a NMI with some wear against the other cartridges:
The other cartridges will also wear and restore the hierarchy, but it'll be a slower process.
If you don't worry about what's going on beyond 2000 yards, the hot rod barrel will be useful for more rounds. If a smart alec with a short 7mm gives you a hard time at the range, this is how they're doing it.