I would tend to agree that transmitting in SSB brings benefit, especially for low power broadcasters such as part 15 and pirate broadcasts, and although SSB has a lower fidelity than AM by traditional standards, that is because of a bandwidth restriction, rather than the inherent limitations of the mode itself. If one were to use a 10 or 15 KHz audio signal to drive an SSB transmitter(without a narrowband filter of its own), the audio quality would be equal to or greater than an AM transmitter. the only 2 problems with this are as follows;
1. the average SSB receiver has a narrowband filter, which will limit the audio quality regardless of the transmitter.
2. the signal must remain very well tuned for the receiver to demodulate the audio properly.
In the modern age, with fancy SDR receivers and PLL or DDS transmitters than can be locked to an accurate frequency reference (WWV/GPS/OCXO/RubidiumTO) these problems are easily dealt with, and the savings of 66% of your power not used for the carrier, and another 17 not used for the other sideband, it may be the right choice in SOME situations.
(P.S. I love AM as much as the next guy, just saying its not the only right way)