What we are talking about are the instructions that came with a piece of test equipment which state that better accuracy can be obtained off the hot side of a line than the neutral, and anecdotal evidence that this is true. Many of the newer digital clamp meters are more sensitive to higher frequency harmonics than the old analog meters were. Therefore, if that sort of thing is going on in the power system, it is possible that the meter accuracy could be better on the hot side of the line than on the neutral.

If the power is clean, there is no leakage, and the wires are separated far enough that there are no magnetic interactions between them, then of course the amps in have to be equal to the amps out and the meter should indicate accordingly.

Within the scope of a radio, or music amplifier, your protection lies in
the limited ampacity of a 18 gauge power cord.

When neutral and hot are being discussed in terms of home or commercial
service equipment, simply keep away. There is just too much danger.

A humble range breaker might light off a 10,000 amp minor sun inside
the panel, or even the wall plug, if a current measurement goes sideways.

Most of us don't run our 120 volt branch circuits off a 50 amp breaker. Most of mine are 15 amp except for a few specialized 20 amp circuits.

Dave