Vladimir, some thoughts.
The Internet is indeed not going away, and for those of us born in pre-Internet days, we must get used to it. I'd like to suggest that communicating itself is an important skill to revamp. Suddenly we're international, across many cultures and languages, among people with mixed and varied backgrounds. Immense numbers of people read what is posted, and our words remain "forever". We can easily not be fully aware of this. After all, typically one sits in a room in utter privacy and in one's own environment.
I see quite a few problems in your proposal, namely this:
I suggest everyone to send me an audio or video recording of any works of any level of your students or of ANYONE else (from "Mary had a little lamb" to "Islamey" by Balakirev). I will listen and post here a response note with my corrections for our general discussion.
To start, you are addressing professional teachers. I know you are a pianist, but I don't know whether you are a teacher. These people would be your colleagues and thus your equals - some with the same knowledge and experience, some with more or different, some with less or different. But your proposal comes across as though you were their superior, since you plan to give your "corrections". This has to be insulting. It is also not an exchange - a conversation - where you are interested in what you might learn from them, while they learn from you. The Internet generally doesn't work that way.
That is, if you had a teaching site and were inviting students, then that relationship would exist.
2) There is a relationship of trust between students and their teacher, and also protection of minors. When a student plays in front of his or her teacher, she expects that the only person who hears her, and assesses her, is her teacher. If there is an exam, a recital, or a competition, then the student has signed up for that, and for minors, it is with the parents' approval. You cannot expect teachers to share their students' playing with an absolute stranger, and then for public comment
. Plus, for that kind of comment, would the video or audio end up here, in the public forum?
3) The teacher's reputation, which takes time to build and establish, and is very important. What teacher would want his students' work - therefore his own teaching - to be publicly critiqued, again by a stranger? I know that professionals do consult each other, and may have colleagues look at their work for critique (in any profession). But then you select someone whose reputation you know and trust, and it is done discretely in private.
These are the problems I see, and they also fall into Internet awareness (which you might not fully have).
There are other problems. A teacher may be having his students do things a certain way, in a given period, for pedagogic reasons while having an overall picture for the future. Anyone coming in from the outside cannot know these things (hopefully someone who is a teacher; but there are so many ways of teaching!)
If you are entertaining this idea at all, it should be TWO-WAY, where your colleagues also critique your work, your students' playing - multi-way, actually, since forums are dialogues. They are not one way conversations between a master having answers, and learners being critiqued, unless you have a teacher + his students kind of forum. This is the teacher forum, where teachers talk to each other
You may not intend it this way, but it may well come across like this.