So are you telling me, it wouldn’t make any difference to you if I wanted to sell you some coins with very bad history? (Maybe Isis used my coins to fund their operations or I got my coins from an exchange hack and I am that hacker) I want to sell you my coins directly, without using any third party exchange/mixer. Would you take this deal?.
Yep. No problem. BTW, do you know your coins' history? You do know that ISIS coins might be sitting on your wallet right now, right?
Because, you know, when you buy a house, the state knows who you are, it's not an anonymous transaction for some weed, so prepare yourself for some trouble if even a single satoshi is deemed "tainted"... 
It stops being peer-to-peer cash if you deposit it in a CEX. Their platform, their rules. If they discriminate based on inaccurate bullshit, then I'd never use them, especially for such large amount. If you want instant liquidation, then you'll probably have to weigh the tradeoffs. Would he take that deal?
What kind of question is that? Is it fungibility or morals the topic?