Your post seems to imply that I could fix the problem by unimagining these agents. If that's what you mean, I'm a bit insulted

Not "could" in the sense that it's an ability you have but choose not to use, nor in the sense that you could "if you were a better person", nor in the sense that your illness is imaginary.

Only 'could' in the narrow literal sense that it answers the question "how could neutral modify their behaviour without their cooperation?" - if you aren't really three entities and "you" are the greater whole then you 'could' ignore their lack of cooperation and alter their behaviour by fiat. (Whether you actually could in real life, or if it would be helpful to do so, is another matter).

rest of reply

Interesting. Thank you.