I tend to track my personal workload in a text file at a more granular level. When my team's project was approaching a deadline and a crunch and I needed to stay synchronized with the developers working closely with me, I transcribed this list to Trello. I showed it to the PM as a curiosity and the next day all of the cards had been printed out and affixed to the wall with masking tape. That's the type of environment a lot of us are working in.
Fundamentally JIRA is an over-grown bug tracker. A bug tracker should be designed, built, administered and used by programmers and only programmers. Project managers should not even have access to it, in my view, let alone try to use it to create reports or control the team.
Typical problem I face in my JIRA shop: there'll be no way to move a task straight from "to do" to "done". You have to move it to "in progress" then "in review" then "in qa" then "done", even if in fact, the ticket just tracked the need to do a quick code cleanup that happened to get done as part of some other task. There's no justification for this type of thing beyond over-empowered project managers.
Yet you claim because YOU've seen it work, everyone else must be wrong?? ironic ?
Imagine having a guy in Dev that can fix your workflow so that "Start working" is not hidden in the dropdown menu.