Availability of Art

Today in class we were talking about how animation and how the multiple copies make viewing the work of art easily accessible.
The question I would like to raise before the bulk of the blog, which is what forced me to hesitate on speaking during class, is: Does the availability of art numb us to good art or does it end the snobbish and stuck up view of art that is only a select view can view it?
Two examples that I would like to look at are Leonardo Da Vinci's, Mona Lisa, which was discussed in class, and the film The Departed.
It is without a doubt that the Mona Lisa is one of the most recognizable paintings from the Italian Renaissance but is this a negative or positive?  When someone is so numbed to something does the thing, or work of art in this case, lose value and cause it to be taken for granted?  To an extent do I think this is true.  How many times do we wake up and think, "I could not appreciate the sun that rises everyday more than I do every time I see it in the morning." The fact is we don't, but just because we do not reflect on it everyday does not mean that we think, "The sun has risen again? I could change it up today and live in darkness!"
The reason why I choose The Departed to talk about is because of how infuriated I was when I starting typing "Leonardo Da Vinci" into my google toolbar to search background information, I was suggested to search "Leonardo Dicaprio" after only typing "L-e-o." This annoyed me when I thought of what else people could be concerning themselves with and the infinite number of things that could be studied other than an actor or, as Plato would refer to him as, an imitator of an imitators (the writer) work.
Although we have the internet and television have the ability to de-sensitize us from violence, current events and art we can not leave out how many people would rather be entertained by a movie.  This is why the most searched topic starting with "Leo-" is a famous actor and not a famous artist.

This is why I am hung up on the question; Are we numb to good art or better informed about good art?