Using version 3.2.0, with Ars Nouveau 3.17.3, trying to break Magistone or Solar Stone, while having the needed progression to see and mine them normally, does not work properly when using a Break spell from Ars Nouveau. They instead drop deepslate and cobblestone, respectively.

The Ars Nouveau spells use the UUID of the player who casts them, according to its developer, so presumably it should be able to mine everything I can with regular tools.