Sorry, I have asked in multiple threads about non-KYCed bitcoin etc. I understand what you say. For me, it is important, because there is no legislation at all in my country. So I am worried, what can happen if they, at some point, decide to apply laws regarding bitcoin. Especially laws against it. The fact that Binance knows I own crypto, is super bad, but I thought I could just make things better now.
That's (kinda) my point: what if they make Bitcoin illegal, they find out you used to buy Bitcoin on Binance, and then ask you where it is now. Can you have a plausible story (other than "a boating accident")?
For me, it's the opposite: banks want to know where the money came from, and the more anonymous it is, the harder this is to explain. Using P2P in combination with a bank account raises more questions than using an established exchange. P2P in person has a whole set of different risks (for $5 wrenches and for privacy).