You did not identify which attribute tables you are interested in? However, YES, Python can download attribute lists. But you would only get a raw non-formatted list You would then, in Python, have to format and export it to some readable form such as Excel, XML, or JSon, This is only to get it into a readable form for you, if this is what you are after. i believe that the programming and manual use of a Python script for this purpose would be more trouble then what you are presently doing. The Python API does not have access to any table save commands directly.
Windows 10 - Visual Studio 2019; ArchiCAD 26