Pyrrho.
That was a very good post. The problem is that the magnetic field from the field coils are AC and the Earth's DC. So yes, in large tubes there does have to be compensation. It seems the mask which has to be of magnetic material is the most vulnerable. The line aperture mask of the Sony Trinitrons seem especially problematic, and are more easily damaged permanently. There is also apparently great risk of damaging them during degaussing.
WARNING about degaussing late model Sony Trinitron CRTs
The following has been confirmed by others.
(From: David Kuhajda (dkuhajda@locl.net).)
You should NEVER use a big degauss coil on ANY SONY WEGA tube, or ANY SONY 27" or larger CRT made after 1997. Sony deliberately put a small amount of magnetic field into the strapping and aperture grill to compensate and improve the convergence. A BIG degauss will remove this and make the tube look very bad.
A BIG manual degauss coil from about 3 feet away should have a low enough field to be safe. (Note: should) I NEVER use the large degauss coils on the Sony tubes after seeing the Sony video of how CRTs have been damaged. I USE a smaller degauss coil and work it on a Variac at a lowered AC voltage, and bring the voltage up each successive pass to degauss the CRT until it is cleared up.
If the internal degauss is not taking care of the problem, you have other things to look at. Has the yoke or yoke purity rings been moved? Have the TV or monitor been dropped? Are all the connections good on the degauss thermister? If it is a three leg thermister it still may be bad as those leave a small current flowing on the older Sony coils. Have any of the extra purity magnets fallen off the yoke or CRT?
Note that Sony tubes do NOT have shadow masks, but they have aperture grills which are an array of incredibly fine wires under tension. A BIG degauss coil can also rip the aperture grill away from the stabilization wires.
This is from the second of two useful articles I found on this topic.
http://www.anatekcorp.com/smask.htm
http://www.repairfaq.org/sam/crtfaq.htm#crtspk
It would seem to me that any center speaker used with one of these Trinitron tubes have not only good shielding, but a second magnet to neutralize the flux emanating from the pole gap. That is going to be few drivers, as it tends to add to driver distortion unless done carefully.
I guess the bottom line is to consider carefully if a Sony Trinitron is a wise choice for home theater.
This is a fascinating problem whose tentacles go a lot deeper than I would have imagined. Seems like a good reason to phase out the CRT.