Yes, but that wasn't the question.
The answer to your question is that if you don't consider or upgrade your 1960's electricity net in the house, then you're living with 60 year old safety standards by now.
If the government/network provider doesn't make it mandatory and calculates the costs in the tariffs, you always get people that rather play with their lives for a few cents.
Not having any kind of RCD/ground-fault circuit sounds extremely ancient where I live. Sure back in the 60's people had a hairdryer and a clock, now they have hundreds of appliences plugged in. Times have changed.
If blowing up your dso is on your mind and have no RCD at all in the phase you're using/probing, use at least something like this (or better; I have no experience with this particular model; everything is RCD protected here). 10 bucks and connect all your sockets that you use in your lab to it.
https://www.amazon.co.uk/Masterplug-Single-Socket-Safety-Adaptor/dp/B000RZDNZMIt's strange that something like this wasn't mentioned in the whole 'dont blow up your scope' eevblog video. The way I see it this would at least save the scope. Dont know what happens to your hand if you happen to touch the ground with it at that moment though....
I wonder if this system would have detected the floating neutral.
https://www.news.com.au/lifestyle/real-life/cause-of-12yearolds-tragic-electric-shock-revealed-after-the-child-was-left-brain-damaged/news-story/8d60948c20675e647236b2bc2e9e5a3d
Well if you don't have any kind of RCD there is nothing detected for certain.
This is why you either want T-N-S or TT.
Chances of this happening is biggest with TN-C (earth meets neutral in switchbox), which I've never seen over here (I think it's not allowed in CENELEC countries; I live in a 50 year old house and was fitted from new with a better system than that.), but I understand is still common practice in certain areas?
This is of course a very tragic incident and should have been avoided with a proper electrical system. Did they have any kind of RCD in the phase where the power came from?
Where I live I reckon this would be impossible with any kind of RCD installed (it's way to moist over here, any copper going in the ground is probably going to trip 300mA), but I have no idea what the australian soil does. Usually if there's grass (water), there is enough conductivity to get that 300mA, but it's best to get a good, certified ground (I think the standard here is 0,6 ohm or something like that)
(edit: this maybe goes all way too far offtopic, but I am genuine concerned about peoples safety, god forbid your own child ends up in a wheelchair braindamaged due to electric shock from a neglected electrical system or a system that misses basic safety from the beginning, and of course lots of tinkerers here sometimes with a lot of knowledge, and sometimes less: invest in an isolation transformer when trying to repair mains appliences, preferably one that you can regulate voltage, helps with fault tracing )