Blockchain.com have been behaving quite strangely for the past few months and users need to be careful about them. When I created my first wallet with them in 2012 (back then it was Blockchain.info), they had the option of exporting the private key. They have disabled this option for the newer version of the wallets. Also, back then all you needed was an email address, if you wanted to create a wallet. They are slowly making KYC mandatory now (yet to be implemented). As of now, they are trying the carrot and stick approach. They were offering $25 worth of XLM to anyone who would undergo the KYC. Their plan flopped because very few of the users fell in to this trap.
And I am not very sure about this proposed exchange. Even earlier Blockchain.com had this option of converting your BTC to ETH/XLM or USDPAX (and vice versa). I was never able to use this service because I refused to undergo KYC.
Oh wow. I forgot all about that previously, because I do remember being able to export my private keys from their wallets and then move it onto other wallets(I used their wallet for a bit before exporting the keys to electrum and a mobile wallet). It does seem they are moving away from decentralization as they implement other polices like KYC, etc.
I did some more research and it looks like there are only 2 options for verification and they work differently for their exchange:
Their first verification tier - Silver requires these details and you'll only be able to trade $1,000 worth of crypto on Swap. I personally feel like this is useless and
Country of residence
First name, last name, and date of birth
Residential address
Their second tier makes a lot more sense - Gold level verification means you can trade up to $25,000 a day on Swap and also join their airdrop.
Upload identity document
Take a picture/video of yourself
So basically - it's impossible for you to use blockchain.com without doing KYC now due to these restrictions.