No, you're expected to feel a sense of ownership over and identification with the system, and to have a fairly deep personal sense of itches that need scratching and ideas worth exploring. Some of those ideas may originate from other people, but if you need other people or an issue tracker to tell you what the backlog is, you're not really right for that kind of role.
Never own anything unless a board of directors decides your fate.
I have a sense of professional responsibility that says do my best at work because I take the money, but that is different.
If I have unallocated and paid for time at work I look for things to fill it with that are valid work and improve my skills, or braindead things to fix like typos in the text or simple documentation updates. Both mean I am earning my pay and oddly enough I get a lot of props for the second and so does the engineering team overall for that work.
totally cool if you dont have that, you can work at some bank or hospital and work in your own style, but the compensation will be smaller