yes, do change out very old stats. but get a quality one. not china junk.
I use STANT (TM) and never tested a bad one. (out of box)
do you think the gauge is accurate, it has no numbers on it.?
it is not an instrument. id never trust it. It is a toy grade gauge. no joke.
look it as an idiot lamp, low is cold , high is too hot.
not to mention how old it is. gee, it's an antique.
best practice is buy an IR gun and shoot the stat housing.
see what the truth really is, no guessing.
over-heating-why?
see advanced tools section. $10 tool , no guessing ,no burned finger, or chasing tail.
make sure Radiator is fill , COLD. do not look at the overflow bottle.
if the Rad. is not full you will have air on top of STAT and Gauge sensor and all will act crazy, no air allowed.