Omit words like caveman and meaning communicated but writing guide sales bad.
Yeah, obviously you shouldn't omit a word if it's needed.
Well, I'm glad someone got it.
Isn't that worse than the original? Sorry, I don't understand your point.
The point is presumably that the original, despite sounding wise, is actually bad advice which even Orwell didn't actually follow.
Orwell was British. The use of 'to cut (a thing)' to mean 'to remove' comes from the American English vernacular. Though the lines are more blurred today, I suspect at the time this was written it would have been extremely odd for Orwell to use that phrasing. In British English, there's really not a shorter way to put that!
Interesting. Doesn't argue against dropping the "always", though.
Brevity is the soul of wit
Not really. I don't think style can be reduced to a single rule, and that's pretty well understood.