Ledger hardware wallet and Wasabi : how to keep the privacy at 100% ?

So I see here https://docs.wasabiwallet.io/using-wasabi/ColdWasabi.html that it is easy to use Wasabi with a hardware wallet. Once the hardware wallet has been connected to Wasabi, you can :
- Generate a receiving address for a hot Wasabi wallet. When the sats are received, Wasabi will start a Coinjoin process in the background, until the privacy reachs 100%
- Once it is done, you can transfer the sats to one of the address of the hardware wallet

But, I'm wondering : if you transfer 100% of the sats, wouldn't it tell anyone looking at the blockchain that you are the same person at the one who did the CoinJoin in the first place ?

So :

1. If I buy 0.12374 BTC on a KYC exchange
2. Then send these 0.12374 to a Wasabi hot wallet address
3. Then send these 0.12374 (minus the 0.3% fee) to the hardware wallet address

Anyone can tell that I'm the same person at all these steps because the total amount is the same, right ?

Or am I missing something ? :)