and if you do not KYC you can withdraw 2 BTC per day this can still help you hide name.
Most centralized exchanges which used to offer reasonable volume of non-KYC withdrawals are no longer doing this. Binance used to offer 2 BTC per day, and that has now been reduced to 0.06 BTC per day. I expect it will drop further or be removed altogether in the future, and I also expect all other centralized exchanges which offer non-KYC withdrawals to also limit or remove this feature in the future as governments pressure them with more and more regulations. If you want non-KYC trading and withdrawals, a good DEX such as Bisq is your only reliable option.
you can sell BTC to Coinomi wallet , trust , saffepal ... in this case you remain anonymous if you don't let people know your real identity address.
No, you don't. Just because you aren't completing KYC does not mean you are anonymous. Whenever you use any centralized exchange, whether or not it is embedded in a wallet, you are giving away plenty of information, from your bitcoin addresses to your IP addresses to your unique device identifier. All this information is likely being shared with third parties and blockchain analysis companies.