OK, then this is either a power supply issue or a problem with the degaussing circuit and both are linked. If the degauss circuit were to stay activated after switch on for more than a few seconds then you would get this type of symptom. The degaussing is regulated by a special type of thermister which changes resistance as current flows through it. This is the first area I would look at because the degaussing are arranged around the side of the tube, so will not really effect the centre of the picture.
Assuming I have understood your "Problem Statement" correctly then this problem will have nothing to do with the DVD player or the signal.
Are you a technical person who could do some tests inside the TV ?