Users are not able to edit the web page on web server while traffic passes through the Load Balancer

Well then you might have two options here:

1. Find where this HTTP reference is coming from and troubleshoot the STREAM iRule. Ultimately the STREAM profile should be rewriting all HTTP references in the outbound flow.

2. Your original iRule was doing a simple redirect to the HTTPS VIP, and the HTTP::redirect command issues a 302 status code which will natively force the client to return with a GET request. Try changing the simple redirect code to look something like the following.

    lang="tcl">when HTTP_REQUEST {
       HTTP::respond 307 Location "https://[HTTP::host][HTTP::uri]"
   }
   

A 307 status code is supposed to preserve the original request, but you may find that it doesn't work for all browsers.