Thank you for your answer, Kaare

This should clear things out a bit. Just want to make sure whether I have understood your answer correctly:
"Falsetto-Neutral": Neutral + flageolet (below C5) (breaks can occur, link 5)
"Modal-Neutral": Neutral (full vibrations) (no breaks, link 6)
So in order to have a break you need flageolet? If I continue to singing in Neutral + flageolet to the very high part of my voice I have to either let it go loud or let it break into this relatively tiny sound. Is that "second break" kind of an "second flageolet"? I'm referring here to the illustration on page 68 which states that the amount of dampening of the cords can vary.
I would call this one the "Whistle-Neutral". Here I am demonstrating it alongside with Neutral + flageolet in B4. On a good day I can bring the "Whistle Neutral" above C6, but it's not very usable because I can't control it and the volume is pretty low if you compare it to for example Adam Lopez's.
https://www.dropbox.com/s/z48brzpwg5rgv ... 4.mp3?dl=0It seems to me that whenever Neutral is discussed (at least when it comes to male voice) CVT is referring to Neutral + flageolet -coordination. In my opinion this is not necessarily helpful to a singer since Neutral + flageolet is rarely used below F4/G4 in professional singing due to it's comicality and weak volume (BeeGees etc. might be a whole different story). I think there should be a clearer division between these two.
Here's a male subject singing "Somewhere Over the Rainbow" in Neutral without air from CVI's research site (There's a typing error in the titles. It says "Song in Neutral with air" although it should be "without air). You need to scroll it down a bit to find the video.
http://completevocalinstitute.com/cvtre ... thout-air/In this video I hear only the Neutral + flageolet coordination.
And here is Adam Lambert singing an acapella of his song around the same pitches. Here I hear mostly Neutral in full vibrations (the most quiet notes and the high notes in the end might be in flageolet)
https://www.youtube.com/watch?v=KNdufFrTLkoThat's the sound I'm looking for and it's probably found through lowering the volume in metallic modes which seems to be quite an impossible task for me above C4

Is flageolet below C5 also possible in metallic modes? It just seems that there's a place, where my voice can go, between Neutral + flageolet and full vibrations (=rest of my voice) below C5. But then again it tends have creaking in it so perhaps it's just an uncentered mode like you pointed out.
Offtopic: Just out of curiosity, when ascending pitch and keeping the same volume and mode does the CQ also stay the same?
EDIT: Maybe it's a little bit misleading to define my problem as "flageolet in metallic modes" because it actually doesn't have any metal in it

Is it even possible to produce metallic sound in flageolet? Is that why male singers usually switch to Metal-Like Neutral in the very high part of their voices?
I can't bring any metal above E-F4 (okey there may be days when twanging helps to get my Edge a bit higher). But the E4 is pretty uncontrollably constricted already.
Here's a sound clip where I'm changin between Neutral(+ flageolet) and the loudest sound I can produce on F#4. It's not as loud as my Overdrive/Edge/Curbing on E4. So I'm guessing it's Neutral/Metal-Like Neutral in full vibrations? It's very unstable, sounds horrible, shouty and like I mentioned many vowels break it apart. I think my voice switches to that in order to remove the constrictions I start getting after C4. Is there anyway I can modify it to become louder (=gain metal) and better sounding because from bottom to top approach doesn't seem to work?
https://www.dropbox.com/s/md35s0wbezjc5 ... l.mp3?dl=0