Sir Harrison U . . . . .
A continuance . . .
I suspicion that this is the sequence of events that has played out over a d . . e . . l . .a . .y . .e . . d period of time.
The top left quadrant located . . . yellow taped up ferrite core transformer . . . is being the main power transformer for the unit.
Our interest is the top left corner of that transformer where there is a heat sink just above it with a dual power rectifier diode mounted to it and a brown electrolytic cap close to it and your intermediary "toroidal inductor " and yet another brown capacitor is very nearby.
A secondary winding from the transformer has one lead going to cold ground while the other feeds to the dual diode with the diode pair common cathode connection feeding into the + of one of the brown filter capacitors. and then the inductor goes between that lead and the + of the second brown capacitor, which finally routes over to be the supply for the backlighting of the display unit.
That first capacitor from the diode is getting the hell hammered to it from the strong square wave hitting it at 50-100,000 times per second. After years suffering thru this, it is gradually declining its capacitance and starting to run hotter. With heat, some of the damp internal electrolyte might build up enough pressure to vent by gassing and passing around the leads.in small amounts. Things are slowly getting worse on the capacitance value of the first cap and it's starting to pass ripple to the intermediate toroid.
Now inductors like DC flow thru, but respond to progressively increasing ripple with progressive heating. As the first cap is ever decreasing in capacitance the inductor is having to take up more of the filtering function, along with that final brown electrolytic filter capacitor
Eventually, that first electrolytic capacitor, that might have been 680 ufd initially, may have declined all the way down to only 10 ufd and is basically out of circuit with that incoming square wave now hammering the inductor and it is responding with more heating up and passing that hammering square wave on to the second electrolytic filter capacitor. Just a short time and the second capacitor goes thru the same heating up and decline of capacitance and the supply voltage just drops out.
Usually in this common failure mode, the power supply just tapers down and drops off and no semiconductors are blown.
This would account for one or possibly two pooched filter capacitors from progressive ramping up of their heating
and capacitance decline and one hot running central / intermediate inductor, just after the first cap dropped in its usable capacitance.
If you have torn down the toroid, a source of like gauge wire could be found at a shop which rewinds electric motors.
Their wire is VERY desirable over otherwise available common insulated magnet wire, as they use the highest temperature rated insulation available.
Or you could get another 1.2 uh toroidal inductor from Farnell / Digi Key / Mousers if you are unable to rework that unit.
Looking at their availability, looks like only one like unit is being stocked anymore . . .at Digi key as a Bourns unit . . .
2000-1R2-V-RC
Da Da Sheet . . .
https://www.digikey.com/product-detail/en/bourns-inc/2000-1R2-V-RC/2000-1R2-V-RC-ND/2534529
73's de Edd
.....