If you are trying to publish output for upload to a SCORM-compliant LMS then there should be an index_scorm.html in the output. If you are NOT intending this content to be delivered from an LMS, then why are you setting options for reporting to an LMS?
Whether or not you publish to HTML5 is set in the Publish dialog, not in the Quiz > Reporting settings.
If you see html_scorm.html in the published zipped folder, it means you have published a SCO, a package meant to be uploaded to a Leraning Managemnt System. That happens when you activate and set up Reporting unde Quiz, Preferences, Reporting. That start file will be recognized by the LMS.
If you do not want to upload to a LMS, deactivate Reporting and the output folder (zipped or not, depends on you Publish setting) will have index.html to launch the course.