I think a counter argument (from Core supporters) is that there are external services (Slipstream, large exchanges) that will offer the service needed to get these transactions mined. That's why he says that you will need to "pay $80" for the service.
So, while it's likely that a sovereign Bitcoiner cannot propagate these transactions easily from his own node, he can just use the service. This makes sense to me since I can't imagine a sovereign Bitcoiner supporting storing arbitrary data larger than a hash at all. I guess I'm just greedy with disk space still after living through the days of only having a 128GB SSD.