I was able to confirm the Request action is sending the POST/GET requests perfectly fine. However, the output does appear broken. You are not going to see anything in Apache or Firebug network logs.
Firebug can only record user HTTP requests; this is server side. Apache does not record access logs to it self (your server is sending an HTTP request to it self). So your script is working, but it's just not going to return any output. Have created a bug ticket to fix the output issue for next release.
Also keep in mind many triggers happen during PHP operation where a redirect immediately occurs and the only way to debug output during those times is to enable debug mode and maximum error reporting, which will cause CB to pause the redirect.
forge.joomlapolis.com/issues/4902
Also note you can save on server resources by using a Code action and just doing an include of your script if it's on the same server that you're performing the auto action.