Steven Petryk
Green Lake Trail is closed for cyclists, so it shouldn't be marked as a bike trail. 

It was made pedestrian-only during the pandemic.

There is an ongoing effort to "complete the loop" along Aurora, Green Lake Drive, and Green Lake Way to make protected bike lanes: 
https://www.seattle.gov/transportation/projects-and-programs/programs/bike-program/protected-bike-lanes/green-lake-outer-loop