Both StreamTransport and CooJah + Blader work fine for me here.

How to download an RTMPE stream with StreamTransport:

1. Open StreamTransport
2. Paste the URL of the web-page you would like to record from into the URL editbox and hit the start button.
3. Play your video
4. An RTMPE URL will appear below the web-page
5. Select the RTMPE URL and hit the Download button

How to download an RTMPE stream with Coojah+Blader:

1. Open Coojah and select the Video tab
2. Open your web-browser (make sure Coojah monitors the traffic from it) and navigate to a web-page you would like to record from
3. Play your video in your browser
4. In Coojah select an RTMPE URL that you want to download, right click on it and select "Download by Blader..."
5. Choose a filename and folder if needed and hit the OK button