I believe I understand your point, and agree with you. You're saying "sometimes your mind needs to stop" and that "you need to be in charge of it." E.g. your mind might be very anxious and distracted by an upcoming work deadline and seek to soothe itself by reading Hacker News, but "you" should stop that from happening, say by installing a site-blocking plugin for your browser and instituting and adhering to "work hours" each morning. Assuming I'm not way off target, I agree with all that.
But it seems we're talking past each other, as I'm responding to your original comic strip which has more to say. The metaphors it uses, and that you have used in this discussion, depict compulsion. That's where I disagree with you. I believe force / shame / guilt work, but that we should aspire for a superior resolution to the problem. One not based on those principles.