When I read the question first, I didn't think it was about lost private keys. Come on, there are many verifications (phone, email, secret sentence) which help even if you lost the password and stuff. I thought it was about burnt Bitcoins and how many are burnt already is an interesting question. I have seen the news about 2000 BTC approximately, but I am not sure whether we can believe it.
I also think that there is always a way out of a difficult situation, and above all there are opportunities to get back into your wallet. Thus, this option is already eliminated. But there are times when people just stop using purse and lose sight of him, along with the content. But I can not understand how it burned bitcoin?