KYC and Bitcoin wallet? To be sincere I do find this topic funny.
Op, you should start by researching the difference between wallet and exchanges... I guess what you read about or referring to is an exchange and not a non-custodial Bitcoin wallet.
Same here, but I think that the Op is confused about something here. Kyc(know your customer) is mostly used by exchanges or crypto accounts and not wallets. Using kyc exchanges sometimes is a choice that depends on the individuals goal and specific use cases eg business purpose. and such for someone new to the crypto verse, the non-custodial wallets are usually suitable since you just want to store or hodl cryptocurrency.
Since hardware wallets are expensive, it is sometimes adviced for users to use a non custodial wallets which require no kyc, and is less expensive. you just have to download from legit source (play store, or their original website) and then install on your device with few mobile data.
kyc puts you personal information and privacy at risk it also gives ability for your transactions to be monitored.
So please before making wallet registrations always read through terms and conditions as well as privacy policy
It is not advisable to use kyc required platform as it puts your identity at risk. Here is a thread that explains fully why you should avoid kyc
Why KYC is extremely dangerous and useless