Personally, I've done KYC several times and I think it's safe so I'm not too afraid to do it because in my country KYC is a normal thing and there are regulations. maybe for some people they are afraid that the data provided will be misused, it's okay for everyone to have their own beliefs and it's good to protect our personal data from being misused. but as long as we follow and do it according to the rules then I think it will be fine.
usually, that's the dilemma. we don't know where will our vital info ended up with. so as much as possible, a lot of us don't want to do kyc. but if there's no choice like if you want to trade in binance, you are now obliged to undergo the completion of kyc. or you want to use your local exchange and they are under the jurisdiction of your local central bank, you have no choice but to comply. i have no prob with kyc as long as it is necessary, in this step, you are entrusting a 3rd party organization to hold your info.