I don't think this has something to do with the price.
But Bitcoin has lost the anonimity long time ago with new regulations for exchangers. To be able to trade there you have to register with your personal data according to anti money laundering and anti terrorism laws. So, your data are also available to law enforcement agencies if they ask exchangers for delivery. Today there are also other tecniques to identify the Bitcoin owner so full anonimity doesn't exist.
This database might be difficult to exist in the light of the new EU GDPR directive but we'll see.