Now i wonder is it for old accounts (several years old)still the 2 BTC?
Has someone tried this to withdraw from an old account without verification?
It has nothing to do if you're an old user or new, their new policy requires all their users to take full kyc verification to get a higher withdrawal limits or to enable withdrawal feature. If you still want to use your binance account, then it's good to say that you need to do their kyc verification.
Sorry to say but you are wrong, i use binance daily not verified and I have no problems and my limit is 2btc right now