If the calipers are not giving reliable readings and you have cleaned all the accessible parts then you have nothing to lose by detaching the electronics/display module and cleaning the normally hidden surface of the ‘sensing’ PCB.
Typically there is s label on the back of the calipers that hides the screws holding the plastic moulded housing to the main (moving) body. Generally these screws are a mix of machine screws and binder types so note which come out of which position. The plastic housing probably ‘hooks in’ at one end and also you might finds the odd shim or two. Any metal fragments sticking to the sensor surface will totally confuse its operation so careful cleaning might restore your calipers to full working order.
If you do scrap them save the useful strip of steel that forms the depth gauge.
Ian P