This article is meant to scare you and promote their shitty paid services:
Fortunately, they can't do anything about p2p transactions. The article wants to mislead you by saying that they will block your coins if you don't undergo full screening, but that's bullshit.
Well I think it's a serious matter, even though the purpose they create that article is to promote their service, but the news is legit.
Let's say you avoid to use centralization at all cost, the miners can blacklist your address, so your transactions will stuck and not included on block. Although currently only few mining pools did that, who knows this new implementation force the other miners to agree and also block the blacklisted address.