As far as wrapping in paper goes, these people seem to have a low opinion of it. It seems that it would come down to whether or not the paper or ink is laced with some sort of conductive metal like lead. I would imagine even at best though paper would never create a Faraday cage like ES bags are designed to, so it's definitely shaking hands with the devil to attempt it.
Check out the posts by weeble42 on this reddit. He doesn't get into his credentials, but it sounds like he manages and monitors many chips perhaps for his job, and he has the equipment to see irregularities in the electrical properties of these things from such damage. His opinion is that useful life of a component can be shortened by this sort of abuse even if it works out of the gate, and he also gets into how little voltage it takes to ruin a chip.
Finally, I found this paper from Compliance Engineering Annual Reference Guide. Understanding this fully is a little above my pay grade, but it corroborates weeble42's assertion that damage does not have to be immediately evident, and it indicates that properly protecting components from ESD in shipment is a difficult problem for the manufacturers.
The people who say not to worry, including the seller, all have the same basic argument. Let me paraphrase the seller, "well, I've never taken any precautions and even been abusive to my chips and never had an issue". This is not convincing at all because you may have just never connected the dots on that motherboard that mysteriously burnt out after 1 year that you had once, etc. People whose business it is to deliver working chips all seem to take the problem very seriously.
I'm satisfied with what I found but I definitely won't mind more input.