I don't really get what you are trying to say, why is a bitcoin transaction the same as a theft?
A bitcoin transaction is the digital equivalent of a cash transaction, you can keep your financial privacy so that all your transactions are not stored in a database linked to your identity.
Because, if you set up sufficient privacy to disassociate yourself from your Bitcoin account, there is no way for the police to tell the difference between "I paid X" and "X stole from me" other than your say-so. It's not as if dusting your keyboard for fingerprints will help...
That is incorrect, you can prove that you are the owner of the private key that spent the bitcoins if you wish. Anyway this seems like a silly argument, with physical cash how can you prove that you paid X with that cash like in the scenario you outline?
My point is that as payments become more and more digital then we must be wary of what that means in terms of data mining and things like that.
Now you've reassociated yourself with your Bitcoin account.
When you report a cash theft, the police don't go looking for the serial numbers of the notes (usually). They look for other evidence, like your house being broken into and the burglar leaving evidence behind. Imagine you've created a situation where there is no evidence that you live in your own house!
You can prove you were the owner of the spent coins to the police if you wish but this doesn't allow the data mining company to know all of your financial history.
