2000 mxz 700 temp light is always on. Ive heard you have to unplug the light if you have a temp gauge or its always on. So do i just unplug it from the back of the lights? And should the temp gauge still work wile the lights plugged in? I bought the sled like this and it bugs me not knowing if...

2004 mxz 800: Stupidly didnt realize how long i left sled running on trailer while unpaxking and getting dressed after our arrival to camp..(40 minutes+/-). The temp light stayed on the whole weekend, but ran with no engine problems for 100miles. Is there a sensor that could be junk, or...