Well, that's incorrect because it wasn't phrased right. It's true that the two sides of the circuit must have the same current because it's a loop, but I remember what you're thinking of, and it's close.
Caution: Wall of text ahead! So, I got a secondhand Gen3 HPWC (TPN:1457768-01-F) that had known issues at full power and of course ran it right up to 48 amps to see what she'd do(note it had updated firmware). For a little while it did 48 amps, but after a half hour in my 20f garage, it...
teslamotorsclub.com
That thread shows a detailed disassembly and investigation that found what the problem was with the early versions of the Gen3 wall connector that were having this overheating problem. Internal to the wall connector, it tries to split current in parallel through two 24A relays, assuming they will conduct exactly equally to pass the 48A of current, but they don't. Here's the paragraph describing this, where he is just referring to L1 & L2 as the parallel split paths of one incoming side of the circuit:
"Those two big dark brown things are each two-pole relays, one relay for L2, and the other relay for L1. Tesla's hope seems to be that the two poles(called A and B in the pictures, in small blue font) of each of the two relays will take 24 of the 48 amps of that 120V leg. That hope is more of a dream, but I was surprised by how it happened."
Basically those parallel paths used some unequal wire sizes and lengths and unequal traces on the circuit board that caused uneven resistance between the two paths, which started to shift the current hard toward one side. He did some testing and was seeing the 48A split about 44 to 4, rather than half and half.
"IMHO, the design is flawed because it relies too heavily on balanced currents with nothing to really balance them, and it seems that even though there's enough electronics to monitor the imbalance, the logic doesn't seem to do much with that information. As a result, while its great to have redundancy, both paths through each relay should have been designed to be able to handle the full 48 amp load continuously without overheating."