The glass roof is not a bad idea. It would be very French to do that. Like the I. M. Pei pyramid at the Louvre. If it's done, it will be done competently. So many people are watching.
To what end? The roof is on the outside put the inside is vaulted stone.
The glass would only be visible from the outside... unless one wants to get rid of the internal vaults?
https://www.cnn.com/style/article/france-notre-dame-green-sc...