I see what you're saying about the safe isolation angle, but what I was getting at was how exactly it is possible to prove safe isolation in those cases without a clamp meter.
As has been discussed, you couldn't do it even
with a clamp meter.
With the crimped leads, you cannot prove the presence of voltage.
There are ways which might well (but not guaranteed) demonstrate the
presence of voltage but, without gaining access to the conductors, there's no way of guaranteeing the
absence of voltage.
With the circuit already dead, how do you prove it is safe to work on? IE, it may be dead now, but if an intermittent break in the circuit recloses, it will be live again...
If you don't know what circuit it belongs to, hence cannot with certainty isolate 'at source', then you obviously have a problem. Mind you, it's far from a unique problem you're talking about. Even when one
does know the source of the circuit,
has isolated it at source, and
has tested for dead, one cannot be certain that there is not an intermittent fault that might suddenly and unexpectedly connect electricity from some other circuit to the one being worked on.
The only certain way is to completely switch off (and secure) the entire installation.
And with the third scenario, similar. How can you prove which circuit the damaged (and dead) cable belongs to in order to identify and make it safe to work on?
I suppose you could isolate the installation and then do 'dead' continuity tests back to the CU, in the hope that one of the conductors (L, N or CPC) was still intact. There will, of course, usually be clues, in that if a cable is damaged to the extent of being dead, something in the premises presumably won't be working - not to mention clues from the size and whereabouts of the cable etc..
Kind Regards, John.