The only known factor so far is that binance knows i got my money . No one can be certain if the split money belongs to me .
If i start using each address for specific purposes , eg real life use ( super market , groceries , gas etc ) chain analysis knows i live in a town and someone gets paid , but so do tens of thousands of people with me . I might have paid merchants directly , maybe not . So anyone in my town can have the split funds . I'm not obligated to show an identity , right ? So do most of the costumers that live in my city . The more i create addresses and split the money the more i increase the chances that i'm not the owner .
In your example you used 4 out of 5 examples with internet stores . Out of those 4 the 2 are companies that require KYC . The other 2 can't reveal my identity . In your real life , how many times you buy things and show your identity ? Should i assume close to zero ? Try to make a drawing with the example i gave you and you will understand how hard it becomes to have undeniable facts that all the addresses i own are not private .
Someone can be certain that i am the owner of an address only after i have spend the money , not before . So , bitcoin protects my privacy by itself and it doesn't need any mixer .
On the opposite side , most people that want to money launder will use a mixer and are looking for people to provide them liquidity . You can consider yourself each time you use a mixer as the exit liquidity of scammers , traffickers , thieves etc . And the fun part is that you don't even get paid more for your risk of providing liquidity .
Also , something to consider for the future . If things change and regulations get really hard ( pools level ) , your coins that are a result of illegal action might get frozen . How would you prove then that you were only looking to protect yourself and you were not a part of the anon ring ?
Privacy for me is to be able to let people know the things i want them to know about me . There's not a single picture of me on the internet . I have never shared a specific location of my travels , where i drink cofee , which beach i visited etc . The people i want to know where i am and what i do are specific and i don't have to share it with the whole world .
[moderator's note: consecutive posts merged]