Given that, bitcoins are not property, but information
Why can't information be property?
Information is inherently free, we can make laws that make it property, but it has characteristics that property doesn't. You can keep it safe by preventing it from spreading by keeping it a secret, property on the other hand is kept safe by protecting it physically. To make Information property you have to take the meme or property and apply that meme to the concept of information, it is intellectually dishonest, and as the internet is highlighting somewhat impractical to enforce.