No. I have not and will not take part in my teacher's recitals.
I've never really had much enjoyment in performing to people. Even in things I was more accomplished than I'll ever be with the piano, I never was able to connect with the audience. I was uncomfortable with feedback (even though positive) that reminded me of their existence and disturbed my own thoughts about the performance. And you are supposed to pretend to be grateful and interested in their opinion 
But I guess it's because of my personality, I just don't feel any emotional connection or "togetherness" with groups of people in the way most people do. The kind of "mass hysteria" that happens in events is always a source of wonder to me...
So now when I try to learn piano I am much more interested in learning to record, so that I'll be able to listen to my performances myself 
I feel just like you. And I thought I was the only one, hahaha.
Ok, seriously, I had a long discussion with my teacher about this the other day. She is planning a little recital within two months and I have accepted to join as I know this means a LOT to her, as she does not have many students and I am by far the most experienced one. We are also to play 4 hands, she and I, and I really look forward to it as it is FUN.
But nevertheless, I hate to perform. Most of my performances (back in those days annodazumal) were disasters. I got nervous and wrecked up completely and yes, my only goal was to survive. I did not enjoy one second of it otherwise, I got paralyzed with stage fright, I just remember horrible moments of cold sweat, ice cold hands, humiliating failures and ... I have never heard any applause. Not that I did not get any, of course I did, but I never heard them. My head was in such chaos that I just took my notes - no memorizing here, noo way - and stumbled off the stage.
On the other hand, I have performed with other things and actually enjoyed it quite a lot. I played in a recorder ensemble and even though I sometimes got nervous and tense so that my head stated to shake (awful) I normally "survived" quite well and thought it was rather rewarding. We made many performances in many venues.
I also studied classical ballet for many, many years. The performances were ... big issues, lots and lots of rehearsals, the preparation was FUN. And when it was about time to enter the stage, we were all shivering with stage fright and it was rather terrible at first, but after a few minutes it was ok. Next appearance on stage was just fun, I smiled and loved to show off a bit, even though I was not very good.
I have also made a few appearances as a novel writer. I have read parts of my book aloud and had a discussion with the audience. NO big deal, actually I liked it a lot. Why be nervous - the job was done, right? The novel was already written, I had nothing else to prove, so I was not very nervous. Not in an uncomfortable way, at least.
Two years ago I attended a little piano seminar with my friend, the concert pianist. He asked me to come up on stage, because I had talked about an issue I had and he wanted to make a demonstration. I had just picked piano playing up for real again, I had just began to learn a new piano piece - it was the Adagio of the Pathétique sonata. I could not play it at all. As a matter of fact, I started in the wrong key and we just laughed and then he used me as a model to show how to sit at the piano etcetera. But I also was astonished to notice that I was NOT nervous and my hands did NOT shake at all. First, I am much older now, I guess I have learned a few things during the last decades. Second, I had my own piano idol and friend next to me, and his enthusiasm and love for the piano was almost electric when he was that close. I simply enjoyed the moment, I did not give a sh*t about the rest of the audience. I just wanted to be there and absorb this enthusiasm and energy and afterwards I was incredibly happy. I was high.
So ... being on stage can be anything from "facing the execution squad" to the happiest moment in your life.
What I know is that I love to play the piano. Of course I sometimes would like to share this joy with other people, to give them something of what I feel myself, because there IS a moment of magic when you share music with others. The best musical moments I've had have been when I have played with someone else. But is this the same as performing? I don't think so.
And forget about me participating in contests. Will never happen.