You have to fund your Wasabi Wallet with a funding transaction before starting to mix right ? This is what all users are doing, they fund their wallet (Samourai or Wasabi) considering the amount they want to make private. They don't do it on a UTXO by UTXO basis they just fund it.

So the deterministic links are created by this funding tx in both cases and the tx0 don't add new links. It just creates the toxic change which have to be dealt with, which is not easy I confess. But the txO in itself is not a problem