A little off-topic maybe.
Is it best to ground the scope, or having it floating (use a wall-plug without ground) when measuring or cars/engine-management systems?
It doesn't really matter normally,as far as the car is concerned, (BUT see the final sentence!!),because it is standing on four big black insulators,so
the car"earth" is not at the same potential as the mains earth! If you have other stuff connected to the car which causes the car body/chassis/engine block to be at mains earth potential,you have to be careful not to get your earth clip on the wrong spot.
If the latter is not the case,all the voltages in the car,including the few high ones are only with respect to the car body/chassis.etc.
That said,I must repeat what I said in another thread
,"There is no real reason to put the earth lead on anywhere else but a point connected to the body of the car."If you put the earth lead on say,a +12volt point,& your 'scope was sitting on a car seat,& thus insulated from car "earth",all would be well,but if you did the same with the 'scope's metalwork contacting the bodywork,there would be big "zap",& you could damage your probe,your 'scope,or your car.
If you again insulated the 'scope,& placed the earth clip on one of the high voltage points in the car,you would elevate the instrument's
metalwork to that voltage,& perhaps damage yourself!
Your Oscilloscope mains earth would not protect you in this case,because,as I said in the first sentence,
the car"earth" is not at the same potential as the mains earth!To answer your question:DO NOT remove the mains earth from the Oscilloscope,as if an electrical fault occurred inside the 'scope,causing external metalwork to be live,& if the 'scope is sitting on a metal part of the car it would elevate the whole car to mains voltage,so everyone working on the car would be at risk.