I have owned, and more recently started using, a 375 Ruger in Left Hand for a couple of years. I really like the Ruger M77 CRF actions and the Ruger company is one of those saintly manufacturere that makes good rifles for lefties. Manufactured in 2013 it has the excellent trigger used at that time, and maybe still today.
I bought it "used" at reasonable cost. The owner had fired exactly three shots before deciding to sell and I acquired his unwanted ammo into the deal. It was, I believe, an Alaskan model , 20 inch barrel , laminated stock. But I wanted a 23 inch barrel and synthetic stock. Off it went to a gunsmith for a Shilen barrel and Pendleton synthetic stock with glass and pillar bedding for the action.
I handload ammo and wanted this rifle to shoot Barnes TSX 270 gn and almost all of my range work has been with this bullet. Initially I mounted a Swarovski Z6 1.7-10 Illuminated scope. The ocular portion of this scope is long and it whacked me in the forehead enough times to convince me change was needed. I swapped the scope for a Leupold Patrol 6HD Illuminated with shorter eyebox and longer eye relief which solved the issue.
The range shooting revealed a "flyers" problem. The first two shots were always at POA and the third shot "flew". Even different powder chages and different bullets produced the same behaviour. I decided to exchange barrels and had a new one made, same length and contour, but could only obtain a 1:10 twist instead of the original 1:12. Renewed range work with load development shows much better shot placement consistency with Barnes TSX 270 gn with a sweet spot MV around 2680 - 2700 fps. I know higher MV is doable but where it's at is fine for me. As configured now the overall rifle weight is 4.041 kg ( 8.91 lbs ), so not overly heavy but not crazy light. There is no suppressor or brake on the barrel.
With shooting what I notice, compared to the 375 H&H, is the recoil property is much "snappier" by comparison. I believe this is related to case design and also, possibly, enhanced by the 1:10 barrel twist. Maybe the recoil pad is implicit also ? I don't regard myself as recoil sensitive but I find a session of shots with this rifle causes me to develop headaches. So, I limit myself to sessions of about 20 shots on the range to avoid this. Sometimes this works and sometimes it doesn't.
Comparatively, my favourite 375 H&H rifle ( M70, LH ) at 3.867 kg ( 8.52 lbs ) is a delight to shoot and even after a 50 shots session causes no discomfort or reaction issues whatsoever. I do notice the difference in the recoil "characteristic" between the two rifles with the 375 H&H being more "gentle" even with heavier powder charges and bullets.
So, it's not that I won't hunt the 375 Ruger. In fact I definitely will due to great respect for this very capable cartridge. And on a hunt who notices recoil anyway ? But I now know I have limits with range sessions with this cartridge.
I'm not sure if this info is what the OP was looking for after my ramble, and apologies if not, but at least I feel good getting it off my chest
And, while here I should make a comment about Hornady brass. For my handloading I have a stockpile of Hornady which as other have found is about all one can find correctly headstamped. So far I've lost three cases with neck splits even with working up modest loads. My cases are sized for my chamber so losses are not headspace related. I believe it's just due to the lower quality of Hornady brass. I don't like the thinner rims on the 375 Ruger cases. Have a close look to see what I mean. For what is regarded as a DG cartridge the rims should be heavier and I'm surprised that Hornady, being in the business they are, didn't design this in to start with. OK, rant over on this point. Hornady deserves Kudos for much other stuff but I believe could do much better with overall brass quality.