Phantom Tweeker makes much more sense

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Adjusting the fine tuning does change the ghosting somewhat, and at one end of the control the ghosting is actually doubled up so the image is tripled. As I adjust the fine tuning I also have to adjust the picture control due to the changing signal level across the fine tuning range. I could post a video to show the behavior.
As per old_coot88's advice I am going to procure more 6AG6's to sub in for the IF tubes to see if that makes a change. I'm secretly hoping it wont as I eventually need to learn IF alignment and I may as well start with this set.