Oh, while I know it's great to watch all those blinking lights in attract mode (and if I could, I would leave mine on for weeks at a time), I personally think it's best to turn the game off after playing it. Since we are 30 years after the fact, it's best to save the old electronics form use (and dreaded heat build up). And, they consumer about 250 watts and draw about 2 amps while on. So, unless your power is nice and cheap (say 5 or cents a kWh like in BC) it's best to save yourself some money too. I pay somewhere from 13-40 cents a kWh here in California so it does add up. You should find no difference in play if you leave it off for long periods of time. Sounds like everything is working right. But do investigate the bridge rectifier fuse situation. Especially if you leave it on unattended - a dead short can cause a fire and there is no fuse for that part of the machine - a situation apparently addressed in later models of games...
Look for this string of text in this link:
Adding Two Fuses to a System3 to System7 Games.
All Williams games prior to 1987 do *not* have fuses on the input side of the backbox mounted bridge rectifiers. This is a bad design, and one that Williams later fixed.
The two bridge rectifiers mounted to the backbox are the lamp matrix and solenoid bridge rectifiers. If either of these bridges shorts, or the large backbox mounted 30,000 mfd lamp matrix capacitor shorts, the main power fuse *should* blow. But if this single fuse was "over fused", a fire could result!
http://www.pinrepair.com/sys37/index1.htm
Cheers,
Mike