...tidy commits are aberrations and full of little lies...
...small, harmless lies.
Interesting choice of words.
Here's another way to think about squashing private commits for public consumption: programmers do not install keyloggers and upload their entire keystroke history including every Backspace and Ctrl+Z used in their text editor to the repositories. And, most of us wouldn't care about seeing it.
Whether John typed "x = 218^H^H73" or "x = 273" is a meaningless distinction and irrelevant noise. Those spurious ^H Backspaces are equivalent to the twitchy multiple commits in private branches. We really don't want to see them. Think of private noisy commits as an extended workspace of a text editor. If squashing those commits is a lie, the Backspace key without an audited keystroke log is also a lie.
Side note: The other comment downthread about keeping all private commit history for "git bisect" is a red herring. Sometimes a commit will deliberately have broken syntax -- e.g. make a quick commit before getting up to grab a soda -- it won't be CI test worthy. Besides, an automated CI server's cpu cycles can point to an upstream integration/test/qa branch instead of a programmer's private branch.