Well, I'm out of practice with the crazy eye maneuver, now it seems. I can still decouple my eyes easily enough, but if anything moves too rapidly in my field of vision, there's a strong reflex to lock in on the motion and instantly resync them. And that "jolt" is giving me a headache.

It would take some practice to fight that reflex.
What I used to enjoy doing was to wear sunglass, and try to look as stern and business-like as possible, then remove them and have my eyes looking in opposite directions, or have one eye "crossed" toward the nose, and the other off to the side. Or just sit there listening to someone speak, intently staring at them and then let one eye wander off.
-Richard