Or, you know, they could come up to you in a San Francisco public library while your computer is unlocked and logged into your account, slap handcuffs on you, and image the contents of the laptop's RAM, establishing proof beyond a reasonable doubt that you had access to the Monero account in question. Just like they did with Ross Ulbricht.
If there's anything you should learn from the history of state actions in this space, it's that the USG is very good at overturning naive assumptions about the real-world anonymity of these technologies.