Absolutely. Because all the things you mention are aligned in our heads, like it or not, to only
certain peoples in the world (via the tropes, media and stereotypes we as a society have created and been given to us over the centuries.) And guess what? That "Savage" identity? When we think of it, it doesn't evoke White people.
What do we call White people who are more inuitive with nature, takes issues with certain laws or customs, are untrusting of steel, and marvel at the sights (of presumably "cities")? They get called Druids. Not Savages. Funny how that works?
I mean, name the one single "White savage" that you can think of right now. If I had to guess... most likely it was Tarzan. But what do we know about Tarzan? He was born the child of a
civilized lord and lady and then found himself abandoned in the jungle. So the one instance of a White "savage" wasn't
really a savage, he instead fell into it by circumstance. And if that's the only one we can come up with... then yeah, the identity of the "Savage" is stereotyped to be 'ferocious', 'brutal' and 'cruel' Non-White people.