I turn mine off all the time, it's only on when I'm using it, I have an rcbs and the only problem I have with it is the power cord where it plugs in is going bad, one of these days I'm going have to fix it
I know a couple of guys that use the Denver Instruments that go down to 0.01gr. At a minimum they will power them up 48 hrs before using. They are even pretty anal about keeping the temp in the loading room the same. Of course anal reloader is in the benchrest shooter description I read somewhere.
The tricky stuff is best left to those who are highly experienced in operating at the ragged edge of stability and sanity.
I use Denver instrument scales also as rossman mentioned. behind my scale sits a digital thermometer,mine is most accurate @ 68degrees,tonite preparing for a match my scale temp is 75.7 & having to triple check for utmost accuracy. things that effect scales ime are temp,wind currents(open windows)(fans)outside storm etc- despite how long on.
ime with checking scale accuracy weighing between multiple scales will bring eye-opening experience's & sometimes the less expensive are more accurate on any given sunday,sometimes not! fwiw.
muznut- in your case if it is more accurate left on I would leave it on