Some students asked me the question about the difference between Esri standard and the open standard in my course: Geospatial Big Data Analytics. The current ArcGIS conversion tool (in ArcMap not ArcGIS Pro) “JSON To Features” only supports its own format (aka Esri GeoJSON) and the structure is below:
It means that even if your GeoJSON is correctly generated, you won’t be able to convert it into a shapefile format using the ArcGIS conversion tool mentioned above.
Another option would be using ArcGIS Pro or the online tool for the conversion of open standard GeoJSON to shp:
And there are some other open source tools for the same purpose too:-)