....and for some more bad news....
I have long since replaced my light switch - and had the dash (all parts) out many times.
Now all the gauge lights blow a fuse in a matter of minutes.
Somewhere there is a grounding lightbulb socket I suspect. I found one once shortly after I got the money pit in the console /cigarette lighter area (which I also have not fixed yet). I went through and used up all the bulbs I had and taped over everything else.
Things worked fine for quite a while, until another short showed up.
I thought *I* was the only one that always had two flashlights in the car!!!!
Next I will take out all sections of the dash and console (again), replace the bulbs and this time use liquid electrical tape all over everything - but I
just got through getting around a broken ignition mechanism and remote switch! With the oil sensor acting up and windshield wipers & washers out, the gauge lights seem minor....
I would not think you have a major problem though.
Despite the little quirks of a 30+ year old electrical system, the basics are pretty robust. C3 vette's protect the battery from engine heat, have truly enormous cables that are well secured and only have less well water insulated bulkhead connections than perhaps a 4-wheeler of half a generation later. If you start noticing weird actions on the key when starting or smell insulation burning or can't read key gauges like oil pressure, water temp and charge status then worry about "should I drive the car?" These other things like interior lights are just "extra features" anyhow! :crazy Fix 'em when it's convenient.