Anytime you engage in any transaction using bitcoin, the other party must necessarily know your wallet number. Then the other party can easily check every single transaction made with that wallet for the history of bitcoin, and can do additional checks in the future. Of course you can get a new wallet, but moving the money from the old wallet to the new wallet will also appear for everyone to see.
Thus any government agent, creditor or ordinary stalker can figure out a way to sell you something or buy something from you using bitcoin, and voila they have your entire financial history.
The writer of the original article is being dangerously misleading when he implies bitcoin is anonymous. There are people languishing in jails right now because they thought bitcoin was anonymous.