No peanuts here. Just simple me and a distinguished Expert Panel. I ran all the tests (experiments) that Stan requested. I was unable to find a 1K ohm resistor but substituted with a 1.3 K ohm. As for caps, I tried 22, 47 and 100 uF. You can see what the 22 uF did (scope screen shot). The 47 uF just started to repeatedly blow the whistle without demand, and the 100 uF made a high pitch squeal.
The resistor made the shift that Stan predicted but didn't solve our problem. Hopefully it helps us understand what makes it work.
A few days ago I did send a link to the thread to Ken at ERR but have not heard back. I am going to reach out to Lionel Tech Support the same way and maybe they can chime in sometime.
CW-80 chopped sign wave (baseline):
Remote Control Whistle (baseline):
Remote Whistle w/ 1.3K ohm resistor:
Remote Whistle w/ 22 uF Caps: