Yes, obliviousness is a privilege, and perhaps at the root of all privilege. There, too, is totally oblivious obliviousness (as in how for decades I was unaware of the real benefits of my whiteness) and there is intentional obliviousness, which is at least partially rooted in a lack of empathy.
However, in order to avoid entropy, or even insanity, humans have the unique ability to compartmentalize and disassociate. Most of the time, those unique human abilities are used to ignore or postpone dealing with shit, so we can just get on with the pragmatics of daily life. On the flip side, sometimes it's just too painful to look at how inequitable things are for so many. Is averting our eyes from the ugliness obliviousness? Or, is it more of a survival mechanism?