generally it is the policy of most forums that any discussion regarding connecting test equipment to mains is off limits.
Only when you make bad and dangerous suggestions like you do here. I don't mind advising someone who knows what they are doing and has the proper equipment about mains measurement. But forums are filled with people who did something one way one time and didn't die and think they know what they are doing. Those people are like little typhoid marys running around giving advice on electrical safety.
as for myself i connect neutral to ground all the time and can work with the scope grounded to either end of the 120mains.
Please don't do that and don't advocate that people do it. This is illegal and dangerous, and it will set off any RCD if the outlet is protected by this.
If you want to connect a scope to mains, do it: in order of preference:
1) Get a scope designed to be used floating, like the tek TPS2000 series. The channels are individually isolated, and designed for this sort of application. They are often battery powered so they can be completely floating.
2) Use a high voltage probe with a regular scope. Either connect the ground clip to ground (not neutral) or don't use it. Ideally, use a high voltage differential probe.
3) Disconnect the ground clip and use an ordinary 10x scope probe. Ignore the fact that the neutral is not equal to ground, and that you have a high inductance signal path. You won't have good frequency response, but what the hell: this is mains wiring. Some probes are rated CATII, which is actually rated for probing mains outlets, but you are unlikely to get hurt by any 300 V rated probe measuring a 120 VAC line.
4) Use two ordinary 10x probes, and configure the scope in A-B mode. You get a psuedo-differential probe, which will have acceptable CMRR at low frequency. Again, it will be bad at high frequency, but you aren't measuring high frequency.
i have one of these newfangled plastic scopes, i made an adapter that lifts the ground and lets me know if something is live.
Just because the scope body is plastic doesn't mean that it is safe to lift the ground. The shells of the BNCs are all connected to the 'chassis' ground, as are the shrouds on any IO ports (serial, GPIB, USB, VGA). Furthermore, there may be non-obvious safety hazards: the buttons, knobs, case screws, and screen are not designed to be safety isolated They don't necessarily satisfy any safety clearances, . If you clip the ground lead to live, your scope becomes a deadly weapon. The indicator is at least a nice touch, as long as your response to that light going on is to unplug everything at the wall.