I am not familiar with CyclOSM but it takes you to OSM to edit the map so you would need to be familiar with the way it's done in OSM.
The are Australian guidelines for our route networks.
https://wiki.openstreetmap.org/wiki/Australian_Tagging_Guidelines/Cycling_and_Foot_Paths#Route_Networks
You are welcome to discuss this with other members of the OSM community at https://community.openstreetmap.org/c/communities/oceania/73
Looks like someone started a discussion about local cycle routes in Dec 2024 so that may be of interest 
https://community.openstreetmap.org/t/lcn-tagging-in-australia/123529/2