Well JV If you're concerned, check for any loose ground wires/connections under the hood. Go thru the procedure outlined in this post from G&M Radiator to see if there is any stray current in your coolant. Has this car ever been in a collision? You mentioned this car has had electrical issues before; I would now look for evidence of body collision repairs.
Bad grounds are a bane to vehicles, so thouroughly look for ground wires and clean the connections to ground. Scotchbrite pad, steel wool, whatever is handy. Be sure the body/frame connecting ground leads from batt. neg. cable are intact and clean at connections. You can always, if your batt. neg cable uses a bolt to clamp onto the batt. terminal, add a ground wire run to any convenient body/chassis connection point. 10 or 12 gauge wire w/ loop terminals crimped on the ends has worked for me many times. I will sometimes just add another neg. batt. ground wire to a body connection to ensure a good return path to ground.
If you have a plastic tank radiator and there IS stray current in the coolant, then the G&M gig should help you determine the source. You could add a ground wire for radiator but it would need connected to metal radiator core somehow.
No harm in ADDING ground wires. I don't see any gain in MPG or performance here, just preventative maintenance.
Take your DVOM put Neg.lead on Neg. batt. post. Probe around batt. exterior working towards Pos. post w/ Positive lead. If you see voltage anywhere except Pos post, clean the crud off batt. case and check again. Batt. crud will form conductive path thru the crud between the posts!
Clean the Crud! This conductive path will worsen batt. condition, it's a short circuit, will shorten batt. life, and add work to the alternator's load.
Clean the Battery crud, check/repair and add Grounds as needed. Just good maintenance!
TracyG Gadgetman Reno