OP,
With the current ammo/component shortage, I am still using the 143GR. ELD-X over H4350 in my 6.5MM CM RPR w 762-SD can. It groups 0.75 MOA or less out to 700yds. I fired my buddy's 127GR. LRX over RL17 load in his full-custom hunting rifle. Accuracy was a bit below 0.5 MOA for me but his rifle is capable of 0.25 MOA or less in his hands with his 127GR. LRX load. So the 127GR. LRX bullet itself is capable of some very fine accuracy. I have a box of them for testing in my RPR rifle and will try H4350 to start with. Will make sure to pay attention to what Barnes tells us to do as far as TSX/TTSX/LRX bullet jump goes (below). Sounds like you may have read this previously, just checking the box. I sorted out my 3006 firing the 180GR. TTSX over H4350 using the same guidance. The "sweet spot" for the 3006 firing 180GR. TTSX was just 0.030" bullet jump to the lands. The "sweet spot" for my 5.56MM M4A1 firing 70GR. TSX over TAC was also just 0.030" off the lands. So that is where I will start with the 127GR. LRX in 6.5MM CM. I can always increase the bullet jump with an arbor press/seating die right on the benchrest as needed while testing accuracy. And if H4350 does not deliver a high level of accuracy, I will pick up some RL17 to try just as stated above. HTH
Short version from Barnes FAQ section on TSX/TTSX/LRX bullet jump for accuracy:
Q: "Do I seat TSX bullets .030 inch to .070 inch from the lands, starting at .050 inch off the lands, as recommended with other X-style bullets?"
A: "Yes. All-copper TSX Bullets typically give better accuracy when seated off the lands and grooves (the rifling in the barrel)."
Long version from Barnes Technical Load Data section TSX/TTSX/LRX bullet jump for accuracy:
Q: "Where do I seat the TSX, Tipped TSX and LRX bullets?"
A: "When loading a Barnes TSX, Tipped TSX or LRX bullet, your rifle may prefer a bullet jump of anywhere between (a minimum of) .050” up to .250” or more. This distance off the lands (rifling), aka "jump" may be limited to the rifles throat length, magazine length and bullet length.
When selecting the cartridge overall length (COAL) we recommend starting with a minimum “jump” of .050” off of the lands. You can test different seating depths and find a “sweet spot” that your particular firearm prefers. We suggest working in at least .025” increments as follows seating the bullet deeper to allow a further jump. Your test plan could look something like this:
1st group- .050” jump
2nd group- .075” jump
3rd group- .100” jump
4th group- .125” jump
5th group- .150“ jump
6th group- * see below
This length can be determined by using a “Stoney Point Gauge” or other methods. You do not have to seat the bullet at, or on one of the cannelure rings. Remember there are many factors that may control or limit the seating depth for your application. You may find that you need to start at around 0.150” off the lands and are not able to get any closer due to limiting factors including proper neck tension and magazine length.
*In rifles that have long throats you may be limited on how close you are able to get the bullet to the lands. In these instances, it is not uncommon to find the best accuracy with a jump of .200” or more.
This jump may possibly stay the same regardless of powder or charge weight within a given rifle. If preferred accuracy is not obtained, we certainly recommend trying another powder, for the powder type and charge greatly affects the overall accuracy of each individual firearm.
FYI- An accurate load requires a bullet with the proper consistent case neck tension which leads to more constant pressures and velocities."