Where do my pushed tasks end up — how do my Supernote lists map into each app?

It depends on the app. Todoist: by default everything goes into one project (default name "Supernote Sync") with a section per Supernote list, or you can switch to a project per list. Things 3: your choice of grouping everything under one Things area, or a project per list. Asana: each Supernote list becomes a section in your My Tasks (private to you), or — if you switch the card to "A project" — a section inside one Asana project you choose. Apple Reminders, Google Tasks and TickTick don't support sections or folders through their integrations, so each Supernote list simply becomes its own list in the app. In every app, your Supernote Inbox (unlisted tasks) goes to its own destination named "Supernote Inbox" by default — you can rename it, TickTick can use its built-in Inbox instead, and Asana can send unfiled tasks straight to the top of My Tasks.