The website you link to is mostly arcgisonline. I suspect they just use OSM data for their basemap, so the ODBl applies only to that.
So to use the data displayed there, you’ll need to ask “INSEE 2019, GPMM, Agam” for licensing information, as there is no more information on that website.
If license is not an issue (private project I suppose, I’m no lawyer), you can just scrape the data. Check your Network console when you select a new category to display, you should see the call to the server, and be able to get the data as geojson…