I have tested it::
On GUI:: Local Traffic ›› Monitors ›› test
Send String::
GET /R13-Live/servlet/BrowserServlet?&method=POST&command=login&signOnName=INPUTT&password=123456&requestType=CREATE.SESSION&counter=0 HTTP/1.1\r\nUser-Agent:BigIP\r\nHost: 10.10.10.102\r\nAccept: /\r\n\r
In packet captures, I see request going out to server::
GET /R13-Live/servlet/BrowserServlet?&method=POST&command=login&signOnName=INPUTT&password=123456&requestType=CREATE.SESSION&counter=0 HTTP/1.1
User-Agent:BigIP
Host: 10.10.10.102
Accept: /
Now Its up-to Server what response it can generate.