Does Blackthorne's 4-piece set bonus prevent fury gain from molten, plagued, and desecrator?

As a Barbarian with decent damage reduction gear, I often park myself directly in molten, plague, and desecration fields so that my Superstition passive kicks in and fills my fury bar quickly. Sometimes it's so good I can just spam Hammer of the Ancients and never run out of fury. All that spent fury, combined with Bloodthirst, means I'm typically healing through the damage safely. I can kill elite packs with these affixes considerably faster (and more safely) than those without due to all the extra fury.

However, I'm considering moving up in Torment where the damage from those fields will be more significant and am looking for ways to mitigate it. I'm considering working on a Blackthorne's set for the 4-piece bonus of "You are immune to Desecrator, Molten, and Plagued monster ground effects." However, I'm wondering if this will prevent those fields from generating fury from the effects, since I won't be receiving damage from them. Reading the wording of the two things logically, it seems like it wouldn't work, but it certainly wouldn't be the first time in Diablo 3 that the actual mechanics of how a thing works differ from the describing text.

So, if the Blackthorne set gives me immunity to molten, plagued, and descrator, does it also prevent fury generation from those same effects?