@mikael "My" solution is not very elegant and I'm not sure it is robust and would stay operational in next versions of Pythonista.
I searched this way for the fun because I I thought that if the console is displayed and is scrollable, it has to be in a TextView...
And during my tests, I discovered the "console 🔽 " button and its pop up menu where you can copy all the console...In the past, I often selected the whole text and copied without knowing this possibility 😢