I think the old adage was that a 375HH magazine rifle should be around 8lbs and therefore a 9lb gun with an optic.
I have a classic British mauser with a dangerous game scope at that weight and it handles and carries beautifully. The fit is excellent and therefore that plus the weight makes it an extremely mild recoiling rifle. Much more enjoyable to shoot than most 300WM rifles I've come across. The balance and muzzle lift is managed well because it has the very traditional 25" barrel.
I think that you'd have to keep that barrel length in mind from a hunter's perspective because it makes it comfortable, ballistically optimal and the longer barrel reduces recoil jump. When you hear about 7lb or 7.5lb 375s that are usually cropped guns. If you're a PH for a living you don't want to snag on stuff so you chop the barrel down to 21". You don't care about long range ballistics because you're a PH. You care that it weighs less because you carry it 150 days a year.
In conclusion: Save the light 375s with short barrels to the PHs that want them for a different application (saving lives by stopping charges) than we do as client hunters.
Agree with everything you advise. Our Rem XCR II in 375 H&H has a 24" barrel and weighs under 7.5 lbs with scope, but it's very unusual in that it really doesn't seem to kick that much at all. It was bought specifically for Alaska given the weather. A 375 H&H for Africa really should be on a Mauser type action and be blued and walnut.