What you are describing sounds like a Technical Product Manager, not a tech lead. The minute you have them “run a team”, you are combining both roles into one.
Writing a tickets is usually not owned by engineering. Some engineering managers may do this work, but it’s usually owned by Product while Engineering helps refine and turn tickets into actionable work. Engineering also doesn't negotiate features. Engineerings job is to help product determine LOE and help Product prioritize requirements for a future release. Again, strong engineering leads can do this work, but I believe Product Owner should hold these responsibilities.
> I believe Product Owner should hold these responsibilities
That's inarguable, as you haven't said why, but I'm saying the structure I described works well. My rationale is: product people don't generally write great tickets, and they also aren't in a position to negotiate features based on technical constraints.