I can also confirm that I repaired multiple LCIIs that all did this. Every time the problem were capacitors. They are just bad.
And the first one that I came across with this problem was back in 2011, so at that time the machine was "merely" 19 years old, this is the same age now a G5 iMac or a late Pentium 4 machine is.
Also they need PSU recapped, especially if they are TDK brand.