The Savage .338 Lapua rifles I’ve seen (haven’t shot one personally) are significantly heavier than the standard models and of course they have the aforementioned muzzle brake. The two examples of Savage 116 rifles I’ve previously owned in calibers .375 H&H Magnum and .338 Winchester Magnum were both approximately the same weight (~7 pounds) and stock configuration as the other standard rifles of theirs. I’ve also had Savage rifles in calibers .270 Winchester (2 of them), .308 Winchester and .30-06, all great guns for the money and all very accurate, provided one is willing to forego the bipod on the flexy plastic stocks. I found the recoil of their .375 and .338 to be vicious, and I’m not exactly a recoil sensitive person. I had a semi custom Howa 1500 in a Boyd’s stock also in .338 WM at the time and the difference between that and the Savage .338 was like night and day. The extra weight, even if only a pound or so, made a significant difference for me. I have heard seemingly credible accounts of the accu trigger malfunctioning in the heavier recoiling Savage rifles, but I never experienced this myself. The gun shop had a Kimber Talkeetna at the time bought the Savage .375 and I have never forgiven myself for choosing the cheaper gun, considering what the price tag on that Talkeetna was at the time and what they go for today when they do show up. I would absolutely use Savage rifles up to .30-06 or 7mm RM but nothing more for me.
I kind of sort of almost considered getting one of the Mossberg Patriot rifles in .375 Ruger when they first came out, for the novelty of trying such a weapon at such a low price, if nothing else (and for that price they seem like they may be a reasonable value as something just for fun) but I thought better of it considering my past experiences and future goals. I just can’t bring myself to buy any more disposable firearms. I am not a wealthy man by anyone’s definition but I have come to prioritize my rifle selection and save my money for something I would be proud to pass on to my heirs. Just me.