This should be the best practice for your situation. OneNote for Mac can sync changes back to cloud itself. While OneNote for Windows is paid, OneNote for Mac will be a free app, and Microsoft will soon make the Windows version free as well. The app will be free to better compete with Evernote, a similar note-taking service with presence across all platforms.
The service is free and you don't have to download the OneDrive sync client. OneNote, Microsoft’s note-taking app, is coming to the Mac this month. To find information on how to create OneNote notebooks that are accessible to people with disabilities, see Make your OneNote notebooks accessible to people with disabilities. P3X OneNote Linux is, actually, an independent browser window for the online OneNote. On your Mac, open OneNote for Mac>click File > Open notebook >enter that account>you will be able to open that notebook. Find out how to get Microsoft OneNote entirely for FREE.For full disclosure, I work at Microsoft as a full-t. On this page you can find links to accessibility help articles that are written for people who use screen readers with Microsoft OneNote. No cost, no trial, legal, & no install required.