Owning a .375 H&H I am definitely a lover of the calibre, but let's be honest here & not over state it's effectiveness. Great it is but perfect it aint.
Yes, in the right hands, under the right circumstances it will take any game on earth, but it also has a damned sight less 'margin for error' if things do go pear shaped.
A slightly off centre shot on a bad tempered cape buff up close might well be disasterous with a .375 whereas a 470 NE might at least put him down long enough to pay a bit more of the insurance premium.

I have seen full grown feral pigs taken with .22lr cartridges but I certainly wouldn't be reaching for one if I were planning to go pig hunting.

Just as I wouldn't take a .375 if there was a bigger gun available that I could handle.
(note that last bit. a 470NE in the hands of someone whom can't handle it is as useless as the .22lr against a buff)