CLN: remove verbose and private_key reference #34640
- [ ] closes #34640 
- [ ] tests added / passed
- [ ] passes `black pandas`
- [ ] passes `git diff upstream/master -u -- "*.py" | flake8 --diff`
- [ ] whatsnew entry

Thanks very much for the help, however, there is already an open PR #34654 targeting this issue.

Feel free to look for other issues to fix!