He is not talking about now but if Taproot can be developed into acting as something like a mixer in the future. I have read in the past that bitcoin developers can make Taproot transactions to like coinjoin. But I do not think this is what the developers want it to be. Even it is developed in a way that only singlesig wallets are having Taproot wallets, instead for the developers to make Taproot multisig wallets which will still have the same fee. I do not know why Taproot should have being for singlesig instead of multisig when the multisig will still function like singlesig with same transaction fee.
What you are talking about (coinjoin, mixer) is a different approach to what Taproot is trying to do.
Taproot is trying to (eventually on a large scale) support multiple parties sending their own coins using the same address.
Whereas Coinjoins are when you take multiple normal addresses and make many of them inputs and outputs.
Commercial software already recognizes most kinds of coinjoins and considers them to be of the 'mixer' category. It would be different for Taproot as everything would be encoded in one transaction
but said transaction would have to be created with special software since none of the existing wallets such as Core, Sparrow support that yet (without jumping through hoops).
In the context of mixers, because of the few number of software that is capable of creating them, these sort of taproot transactions can easily be fingerprinted to a particular wallet and possibly even OS version if it is not cross-platform.
I guess Taproot multisig sort of acts like a good mixer for now, but only because it's not being used widely so BA hasn't bothered to update its rule engines for it. That also means that unlike coinjoin, you're going to have a hard time finding strangers for doing a multisig taproot transaction. Unless somebody updates Joinmarket to support this kind of mode I guess.