These methods of address identification fall apart completely if you use mixers to break the link between previous transactions and now.
Keep in mind that some mixers don't work as intended. There's a great paper on this so if somebody doesn't know it yet, take a look there[1].
So while in theory mixer could help you, finding one that works and reputable is hard. Remember that there are at least 2 mixers that do an exit scam this year iirc.
[1]
https://bitcointalk.org/index.php?topic=5117328.0