Adobe Illustrator does not support TextOnPath for SVGs at the moment. While they are picking up this issue, this script fixes TextOnPath when opening SVGs.
When importing SVG's in Adobe Illustrator, it currently creates a group for each node. This script converts all top level groups to layers.
Copy to the script to your machine, if you put it in the default folder (see below), Adobe Illustrator automatically shows them in the script-menu.
C:\Program Files\Adobe\Adobe Illustrator CC 2019\Presets\en_US\Scripts
Applications/Adobe Illustrator CC/Presets/en_GB/Scripts
The file path may differ depending on your version of Illustrator (could be CS6 instead of CC, for example), and also your language (could be ja_JP instead of en_GB, for example).