Guess you could, but it would mean either storing multiple versions or having problems if someone links to a post that then gets edited.

As long as whatever the page landed on displays the URL correctly and there's a canonical URL, then it'll do what's needed for search and usability purposes, and while it's likely there will be a small amount of abuse, I think that matters not a lot.

But, if abuse and similar are a lot more concerned about it then perhaps might be worth doing.