Yes, that is what the aftermarket harness that was used looks like. It then goes into a plug that plugs directly into the factory radio harnessCan you confirm what the RCA leads are connected to?
Are the LC speakers should connected to this harness? If so, your likely issue is a combination of head unit power output (despite specs, likely to be not much more than 20wpc) and higher impedance speakers. And you mentioned the speakers are wired to a common ground - again this might be worth using the individual -ve wires on the harness.
View attachment 3837987
Previously the RCA leads (4 speaker out) were connected to the speakers via the factory harness. Now they go to the wires I used to bypass the amp (run behind glove box and down the door sill) and tie in under the passenger seat as described in the TLC article.
In trouble shooting I now have the new speaker wires grounded to the metal dash support bar behind the head unit.