French luxury brand Louis Vuitton suing Darfour and modern art?

Or simply protecting its brand. Nadia Plesner, a Dutch designer and artist has launched a Darfur campaign asking people to support Darfur with "a simple living t-shirt or poster" below:

Problem is that the purse she has chosen to illustrate her campaign is one of the the world famous Louis Vuitton bags. Louis Vuitton threatens (pdf) nadia plesner who answered (pdf) that the bag "does not refer to a Louis Vuitton bag". This answer is honestly not really smart I think because it obviously looks like a Louis Vuitton bag. I doubt she will win saying that it does not look like the brand...

Having said that 3 lawyers want to help Nadia and she received tons of sympathy comments on her site with a conversation starting around artists rights to paint or draw something that looks like a protected brand product to express an idea. This is very interesting, do you think she might win? I think that LVMH could damage their brand by playing too much the bad guys, let's see what happens.