You can post temporary recordings with vocaroo, they are deleted after a while though, or you can post on soundcloud.
Those descriptions of head voice or falsetto are all very mushy because different people, even voice trainers seem to understand different things when hearing these names. As I understand it there is a transition of registers happening always at a certain point - in female and male voices. It is above the normal speaking range but women tend to cross it sometimes when speaking and when singing in a higher range everyone has to cross it. Women seem to be able to cross it easier, while male voices tend to break in that area more. It seems to have to do with the strength and tension of the muscles involved. The way I understood it from what my voice therapist said, one muscle , the CT muscle, is mostly responsible for th elower part of the voice when it comes to pitch changes, the vocalis muscle is responsible for th eupper part and the area where one has to let go and the other has to take over is the "break". If the takeover is smooth, there is no break, but that takes effort in a masculinized voice. My theory is that this is in part because the CT muscle has to put up a lot of tension to get the pitch into the break area and has to let loose of all that tension gradually to give in to the vocalis muscle. That means a controlled relaxation of a tightly tensed muscle. In a female voice I believe the CT muscle does not have to tighten that much to get to that point, since the base pitch already is higher and closer to that universal and gender-independent breaking point, so less tension has to be given up and the transition is easier. Its just my theory

Anyways, thanks for the input already - I know I was fascinated to see how that break and the upper ranges to make sound in can change with therapy. I am not a singer, so all I do is sing "aaa" and "ooo" and such in thse ranges

, but my voice therapist is kind of fascinated that I can do this and that it does not sound falsetto. In one assessment the woman analyzing my pitch range tried to sing before me and I was supposed to sing after. At some point in the upper range she (!) said she cannot go up any more, if I can do so, I should do so on my own. So I definitely have a good upper range and would like to know wht happens to it with surgery. The surgery is a great benefit at the lower part, which is where most of the daily action is happening, but I would be a bit sad if I had to give up that upper range as a price to pay for that. Thats why I am asking.
(Surgery is supposed to be just 10 days ahead, except I am not sure it will happen with my stupid bronchitis of the past days, so it may be I have to postpone it.)