Almost every exchange today will ask KYC. The reason why they won't ask is if you are not going to exceed the limits on the withdrawal amount. The only you could do it if you are going to withdraw a huge amount I guess is on DEX. The DEXES however are more on ETH.
1BTC for unverified users is good enough to use comp[are to binance that you are only allowed with 0.06BTC. The majority I guess allows 1BTC except for binance.