My comment regarding non-ionising radiation being safe was specifically related to a previous post concerning genetic damage from weather radar. That still stands.
Of course lasers can burn, but their frequency (and therefore energy) is many orders of magnitude higher than microwave radiation. It's not really relevant and since the article you link to mentions ELF radiation as dangerous, it carries about as much scientific weight as a purple healing crystal.
Before flying I worked in a university environment with numerous radiation sources and took radiation safety extremely carefully. I imagine the reason Airbus suggest that you stay clear of the radar is two-fold - partly because the author is an engineer, not a physicist, and partly because of fear of litigation.