The picture you drew shows a "PIN" or pin cushion problem.
Sony & others had cold solder joints in the following areas.
Horz drive, horz drive transformer, horz output, vert output IC, Small 3 legged regulator IC's also the main power supply board. I would check the HV, CRT & power supply boards for cold joints first.
HV can be detected by checking the 200 VDC at the CRT socket.
If you have 200 V you have HV. Also the H1 & H2 run off the HV.
They are the heaters. If no HV the filaments will not light.
Hope that helps, good luck
Zeno
LFOD !