1.1: A user cannot find AutoCAD 2017 listed in the supported apps for LiveSync on the Autodesk plugin download page (for LiveSync).

2.1: Answer:
Hello
Thanks for getting in touch, and asking about supported versions of AutoCAD.
The right-hand side of the panel is prepared by AutoDesk.
Autodesk does not mention AutoCAD 2017 because they only support the last four (4) versions of the software, so they removed it from the plug-in description.
We will continue to support AutoCAD 2017 in the meantime, and include it as a supported version in our description (on the left side), as well as in our articles:
3.1: Reference: Zendesk Support Request