Yeah I would. But you may not have to remove the analogue board to make the repairs.
According to Larry Pina's Mac Classic Repair book, most likely a horizontal white line is a symptom of a broken or cracked solder joint at connector BD1 on pin 1 on the bottom of the connector. The crack may also be on the width coil at LL2 or on the horizontal deflection capacitor at LL1.
In which case, all you need to do is remove the vinyl jacket and re-solder the joints at these locations.