Largest caribou I ever took was with a .300 Savage and 150 grain Winchester "Silver Tip" factory loaded ammunition - (caribou are not very "impact resistant").
Likewise, I have shot the heads off ptarmigan ("snow grouse") with it so, it is capable of excellent accuracy in some rifles.
Mine was a 1950's vintage Remington pump action "Woodsmaster" with factory brass bead front sight and Lyman receiver/peep rear sight and was as accurate as most bolt action hunting rifles.
My sons learned to hunt with it instead of the more traditional "kid's first deer rifle" (the dreaded .243, which I see as primarily an excellent varmint cartridge that can be used on deer and antelope - as long as you are an above average rifle shot - not the best beginner's deer cartridge at all - IMO).
Personally, I feel that the .300 Savage is one of the best cartridges to give to a young/beginning deer or PG hunter but, I would recommend a bolt action if one is available (the old Remington model 722 was made in this caliber and usually not expensive when located these days.
This cartridge was supposed to compete in ballistics with the .30-06 / 150 grain loading .... "but in a short action" (sound familiar).
However, in today's factory ammunition it is somewhere between the .30-30 Winchester and the .30-06.
Not that this is any reason to avoid the .300 Savage (I really like it actually, mostly for nostalgia but also for it's very mild recoil).
Anywhoo, for adults who presumably will not have trouble with recoil from a regular .308 and / or a .30-06, the .300 Savage has no advantage and actually will be more difficult to find ammunition for, even in N. America but especially so in Africa.
In the question of the .300 Savage being adequate for African PG or not, in ballistic terms - I would recommend using 180 grain bullets and would specifically be nervous about using it on truly large so called "Plains Game" such as, eland or giraffe.
You are too right.
I stand corrected, it doubtless was a "Game Master".
All these "Master" names are just too much for this old geezer to keep straight, twenty something years after I owned one.