@Hex Thanks Hex, sorry for my late reply i thought i posted the message but it didnt seem like it.
My MA applied my visa using my full name as Last name and was refused to follow my other visa histories even though the same company (a reputable one) did my 457 and had my previous information. It affects the linking between ATO and Medicare and other stuffs. It costed me a lot of efforts to explain and still couldn't solved the problem, ie why didnt i use the right format of my name and etc. Immigration did not actually asked for anything yet and i thought my MA should be providing the correct information, just in case. And it worked out perfectly for me!
I then requested MA to change it because of all the troubles i have been going through. They initially wanted to put a Name Change request but i disagreed because i do not have any documents to prove that. I did my research and requested a Notification of incorrect answers for my name. After a couple of days, they agreed and submitted the request on 30 May. I then checked my account again and noticed there is an updated of my name to the right format on 5 June. And i receive my golden letter on the very next day, 6 June. There are 2 different officers assessed my case, both 4 Apr the famous email and my grant on 6 June.
Immigration did not actually asked for anything yet and i thought my MA should be providing the correct information, just in case. And it worked out perfectly for me! otherwise i couldn't imagine how much waiting time and problems i have to go through if i did not stay firm.