Your response let me know I should have been a bit clearer on the "balanced differential" inputs. What I'm attempting to clarify is that if the aftermarket amplifier has this type of input, the amp doesn't need dedicated "speaker-level" inputs; it can receive either line-level or speaker-level signals from the upstream component, whether it's an OEM radio or amplifier. This is a relatively new feature in amplifiers. They used to only come with standard unbalanced inputs, where they accepted a smaller range of input voltages and the RCA shields (carrying the audio ground) were tied together. If the installer connected the speaker wire outputs to this type of amplifier, the upstream component would activate its protection circuit, as it thought the speaker cables had been shorted to ground. This amplifier design was common also because OEM integration was very rare, so designing in features that supported this wasn't a good financial choice. Today, things are very different.
V8, you're absolutely correct the LC6 is a fine piece, with many useful features. I think AudioControl is one of the best, smartest companies out there, with a great catalog of car and home products. Everything they make is constructed using design principles that originated in the pro-audio world, a philosophy brought in by the company founder Greg Mackie. But, if we restrict our discussion down to simply the question of whether a converter is absolutely needed when connecting an OEM radio/CD unit into an aftermarket amplifier, then answer is no, it's not. One simply needs to select an amp with either dedicated speaker-level inputs or balanced-differential RCA line-level inputs.
All radios with built-in amplifiers can produce around 9 volts RMS on the speaker leads. This is plenty of signal to feed into an aftermarket amplifier. The LC6 can produce around the same amount on its outputs--of course, it does this using its internal high-voltage power supply. This is a very healthy amount of signal, which ensures no noise will be picked up on the RCA cables feeding into the amplifier. Interestingly, the head unit in my CX5, a 2013 GT with the Bose package, produces almost 4.0 volts RMS on the pre-amp outputs. This places it well above entry-level aftermarket decks that typically don't have internal DC/DC converters, limiting their preamplifier signal levels to 2.0 volts.
Again., the LC6 is a fantastic piece that adds some very useful features. It's just that it's not absolutely necessary today for adding an amp to an OEM radio.