"Independent of a publisher" is less precise than, "independent ideas and creative freedom"?
Mine is literally a binary, factual assessment, that is easily verifiable: did they use a publisher?
Yours is a standard that the public has no way to verify, and is regularly is lied about by devs and publishers. Every publisher says they let their studios have full creative control. No one says, "yeah, we interfere in design decisions all the time".
> Many indies still go through publishers because they don't have the means or knowledge to handle distribution.
No, indies didn't go through publishers, small studios do.
What you are describing is just indie studios signing on with publishers, becoming dependent* on them for some aspect of distribution. Literally ditching their indie status.
Why do you think *any* size developer that uses a publisher does so? To gain the advantages of their greater resources.
As another commenter pointed out, this term doesn't originate in video games, it comes from musicians who do not sign on with a record label.