/rest/api/2/search?fields=project&maxResults=1000&jql=worklogDate >= "2019-04-07" and worklogDate < "2019-04-10"
Adding the above to my Cloud Jira domain returns Issue Types of Task, Bug, and Sub-Task. It doesn't include Story or custom fields. I confirmed this by creating a "Bug" issue, logging work, and seeing it appear in the results. Then I changed the Issue Type to "Story", refreshed the results, and it was no longer included.
Anyone have any insight?
EDIT: In looking at this some more, it appears adding a "worklogDate" term to the JQL is what results in the "Story" and custom issue types not being included. HTH