Product / project / scrum guy here. Logging time won't make sense unless each ticket is one person working on it at a time. The moment it becomes teamwork (like asking someone else for their thoughts on an idea) the value of time is meaningless.

People are also useless at estimating time in advance, but pretty great with throwing a story-point number on a given story with the right guidance. Please feel free to schedule me in with your uneducated upper management. They're about to lose value.