First, I agree with you as regards willful ignorance - I have no patience for that, myself. That said...
From the context given, it seems pretty clear that he didn't mean that literally, so much as describing the complexity of the respective systems.
Variac output induces a current in coil 1 proportional to the current times the number of turns, which powers coil 2, which repels against a fixed magnet to move a needle... vs "I clip this on, something similar happens at the first stage, then it goes through various filters, goes through the lowest bidder's 4-bit ADC using an aging 9V battery as Vref, gets adjusted by calibration code of unknown accuracy (and hopefully the last person to use it didn't randomly recalibrate it using a lemon and a dog's nose), and finally a number magically appears on the LCD".
Yes, the old timer understands what the digital meters does - Enough to understand that it has about a million times more points of failure than two loops of wire and a magnet.