change default value (for index) of func named to_csv
- [ ] closes #xxxx (Replace xxxx with the Github issue number)
- [ ] [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
- [ ] All [code checks passed](https://pandas.pydata.org/pandas-docs/dev/development/contributing_codebase.html#pre-commit).
- [ ] Added an entry in the latest `doc/source/whatsnew/vX.X.X.rst` file if fixing a bug or adding a new feature.

# Objective
We find the extra index output annoying, and to remedy that.

# Changes
```python
...
def to_csv(
        self,
        path_or_buf: FilePath | WriteBuffer[bytes] | WriteBuffer[str] | None = None,
        sep: str = ",",
        na_rep: str = "",
        float_format: str | None = None,
        columns: Sequence[Hashable] | None = None,
        header: bool_t | list[str] = True,
#       index: bool_t = True,
        index: bool_t = False,  # My Suggestion
        index_label: IndexLabel | None = None,
        mode: str = "w",
        encoding: str | None = None,
        compression: CompressionOptions = "infer",
        quoting: int | None = None,
        quotechar: str = '"',
        lineterminator: str | None = None,
        chunksize: int | None = None,
        date_format: str | None = None,
        doublequote: bool_t = True,
        escapechar: str | None = None,
        decimal: str = ".",
        errors: str = "strict",
        storage_options: StorageOptions = None,
    ) -> str | None:
...
```
I have checked and it doesn't seem to be there.

Should an Issue be created? this default cannot be changed w/ discussion (but low likelihood in any event); you are welcome to create an issue though Thanks for the PR, but agreed for deprecating behavior we prefer discussion in an issue first (I remember something similar being discussed a while back and the conclusion was not to change the output index default because it had been the output for years now and easily changed by toggling the keyword). Closing awaiting a format discussion in an issue