Have a look at the 10mm RF/IF transformers. The ones with the skinny slug. Do any of them show a peak with the slug dead-flush with the rim of the hole?
If so, this is not a resonant peak. It's the inductor's end-of-travel point. That flush position is the coils max inductance setting. It's common for the internal tubular ceramic capacitor to go open circuit. When it does, increasing the inductance will compensate, but not enough to resonate properly.
If the coil's frequency is high enough, soldering a trimmer cap on the solder side of the pcb to the two pins on the resonant side of the coil can fix this without replacing the whole part. Besides, some of the 10mm coils have become hard to find.
This Cobra 142 had a bad case, but the seven trimmer caps restored each tuning slug to resonate well below the max setting and got the radio back to full signal levels.
And if all of them show a proper resonant peak with the slug well below the rim of the hole, this won't help.
73