Yes, I think that the way that most Corsicans use the, sounds like, Jairvan, when talking about the route.
In the 2001 version of the route book of PD, that we have, he does use this term in his guide. I suppose Grande Randonnee is fine but the numeric perhaps not so.
My first encounter with the Corsican route came about when I attended a 'slide show' given by a geography teacher from a West Lothian school of the traverse made with his pupils in the 1980's.....and then prompted again when my daughter went to the route in the early 2000's. I marked this up but did get to it until I reached the government pension age in 2007.
By going early during June I suppose that we missed out on the huge numbers of folks walking in August. However going early has the chance of walking with some of winter still around....2007 was fine when you had to go out of your way to reach a snow-patch but in 2013 I travelled from the South when starting out in the first few days of June the conditions later further North were a bit different.
For anyone who is interested I put together a blog-thing of the two visits... The GR20 - blogspot.com might just illustrate the difference in the two years.