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I think you just didn’t get @0xbitcoiner‘s point: in the case of consolidation, all inputs are linked together, no matter if he sends them to a new address or not.
I would still use a new address since this slightly increases privacy: with a new address, it is not guaranteed that the output belongs to the same owner of the first address.
I must not be understanding something. What's the difference in terms of privacy in sending all utxo's to a new address or to address 1?
the native public property
of Blockchain...