Sounds like an old wive’s tale…
I can’t remember where I got that from, i.e. did I imagine it or was I told when I was an apprentice (for clarity I worked 1.5-2 years at a garage after school so was never a qualified mechanic).
Here’s where my memory gets fuzzy…the battery output is 12v – this powers all the various gizmos that run on the primary circuit. The secondary circuit converts 12v to 20,000+ volts (via the coil).
It’s possible to fry some of the gizmos on the car being started, I think this is why the leads should be connected in a particular order. Although I can never remember if it’s live first or neg first, and when I was at the garage I was never given any particular instruction when jumping cars. I usually assume it should be neg first, but I’m probably wrong.
One thing that’s in my head, when a car starts the voltage can spike on ignition, which means that if you have the jump leads connected to the other car you could blow fuses in the car being started or something.. So the engine should be running when you connect the leads.
Possibly…Someone qualified might be able to confirm or deny all this nonsense I’m spouting.