BUG: Series.rename(scalar, copy=False) still copies data
- [X] closes #52450(Replace xxxx with the GitHub issue number)
- [X] [Tests added and passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#writing-tests) if fixing a bug or adding a new feature
- [X] All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).
- [X] Added [type annotations](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#type-hints) to new arguments/methods/functions.
- [ ] Added an entry in the latest `doc/source/whatsnew/vX.X.X.rst` file if fixing a bug or adding a new feature.

as discussed in #52450
> The fact that renaming does a copy=False still makes a copy is a bug, though. I don't think there is a plan to fix it, as the copy keyword is going to be deprecated.

Hence am closing this PR