But if you use Binance and do kyc there I don't think there will be any problem because they are a trusted and very big exchange platform. So there is nothing to fear about it
Any CEx can suffer data breach. Being big in the game does not necessarily translate there will be no problems.
It's also known that CEx's shares user data to who knows what. In fact, one of the third parties binance used suffered a breach and people's data were leaked, see:
https://cointelegraph.com/news/binance-kyc-breach-did-it-happen-and-if-so-whos-to-blameIn short, there's still a good amount of risk involved even with established exchanges.
People shouldn't really forget these things but eventually these binance issues were forgotten already since people would really be focusing most of the time on what is the current reputation and popularity does it have at this moment on which it would really be that a common for people to have that kind of reaction on which they do easily forget those breaches on which this exchange have
in the past. People doesnt really care as long it do really give out the services that it do currently gives and this is why they are really that still sticking on making use of this exchange. Its true that when it comes to data breaches then these centralized exchangers are really that prone to these things but it seems that the community doesnt really care at all. In between choices of CEX and DEX then it would be entirely be depending on your needs but cant really deny that cex offerings is more better because it do really engage out with direct with fiat or easily could make out some p2p transactions on local fiat on which i do really prefer the most.