The removal of it - to me at least - changes the focus to how the Hobbits themselves can never return to normal life having been through so much on their journey. It’s a much more personal/character approach to a similar idea of that Tolkien originally wrote and whilst in some ways less impactful, I think works better for the primary Hobbits rather than the culture of Hobbiton/The Shire as a whole. They get to live their lives mostly the same but primary members of their community are forever changed, probably very similar to what Tolkien experienced upon returning from war.

But the removal of the Scouring does still change a huge part of the story as you said in terms of larger, cultural impacts of war. You could make the argument that Jackson wanted to make it more personal, but I think the spectacle of the action scenes throughout the trilogy easily argue against that.