I really don’t think that the existence of high quality reproductions would make a difference. The people who want to visit the museum want to have the full experience of the museum and be in the presence of the originals.
Most museums are happy to share digital versions because it helps increase awareness and expose more people to the work, which then makes more people want to come to the museum for the experience
Musée Rodin, 2010-2013: "The curiosity aroused by the content and quality of the digital image and the 3D model will encourage Internet users to come and discover the sculptor’s work in its museum setting."
"In the short term, the project to put all of the Rodin Museum’s digital collections online in 2D and 3D will enhance the dissemination of the work of this world-renowned artist."