It’s separated from your KYC exchange, but you have to think about every step. For example:
• WoS has your IP/device and they could be subpoenaed
• WoS also knows where the payment was sent to on LN
• Then whatever method you have for getting it on-chain needs to have extra privacy protection as well. Def need VPN or Tor to get good separation
What you *have* done is separate the on-chain trail. So Chainalysis doesn’t know shit & the only way to follow the trail is good ol’ investigative work.