Not if there's a ticket you're sort of but not quite stuck on, and feel uncomfortable updating the ticket status, as it could then prompt your lead to say "well

Not if there's a ticket you're sort of but not quite stuck on, and feel uncomfortable updating the ticket status, as it could then prompt your lead to say "well, have you tried X already?" and feel clever about their contribution, while the reality is more complex and then you have to get into an awkward chat with them about why X is a poor idea in this case.