BUG: Incomplete Styler copy methods fix (#39708)
- [x] closes #39708
- [x] tests added / passed
- [x] Ensure all linting tests pass, see [here](https://pandas.pydata.org/pandas-docs/dev/development/contributing.html#code-standards) for how to run them
- [x] whatsnew entry

I haven't made so many pull requests before, so I hope this is going into the right direction. 