Methinks we have a smoking gun. From
http://en.wikipedia.org/wiki/Electricity_meterSome meters have an open collector output that gives 32-100 ms pulses for a constant amount of used electrical energy. Usually 1000-10000 pulses per kWh. Output is limited to max 27 V DC and 27 mA DC. The output usually follows the DIN 43864 standard.
Searching on DIN 43864 results in numerous links from meter manufacturers that mention the pulses but none that I read really added any detail to the above quote.
Such pulses might indeed cause the apparently random events being reported. Somehow the pulses get past the transformerless power supply and directly affect the PIC in switches and lamp modules. X-10 designers also have had a tendency to let unused PIC pins float which can lead to problems. Insteon designs use different MCUs and better engineering so are probably immune which explains why there are no similar reports on the Insteon forums. They might, however, wreak havoc on UPB systems - UPB uses similar amplitude pulses for powerline communication.
As for
noam's question, the FCC prohibition applies to unlicensed radio devices transmitting
over the air. I don't think the FCC even regulates powerline communications (or conducted emissions) unless they radiate energy that interferes. Anyway, the interference referred to is with
licensed use of the frequency in question and X-10 is neither licensed for PLC nor RF.
I have a Parallax USB 'scope which, IIRC, can be setup to trigger on a rising/falling edge. If I can dig it up along with a 25VAC transformer, I should be able to get some pictures. BTW, I just realized I had misread the duration of these pulses. 32-100ms can span 3-12 half-cycles - I had expected they were much shorter. Although, I have seen ms frequently misused when the writer meant µS.