Usually these problems are due to the static centering rings on
one or
more of the CRTs being misadjusted and the convergence IC has
to put out
a steady DC component to correct it. If you scope the outputs
from the
convergence IC and see both positive and negative current
swings into
the convergence magnets, everything is OK. If not, you need to
adjust
the centering magnet(s) on the appropriate tube(s) and then
re-converge
the set.

David

Certain Samsung models were pretty popular for this. I take it
by your
knowledge that you've worked on a few.

Yes, but those were not the only sets with this problem. There
were quite a few Sony sets as well. If the convergence ICs are
running hot, the scope comes out and 9 times out of 10, fixing
the static centering and re-convergence clears the overheating.

David