Here's just one reason:

A strategic element in the privacy war is the uncertainty of coin ownership (by you as well as others). Ideally this should be increased as much as possible.

By solidifying (definitely re-confirming) your ownership of those UTXO's, consolidation transactions shrink down the volume of unattributed UTXO's on the blockchain, which indirectly degrades everyone's position, including your own - via increased vulnerability to chainalysis etc.

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Oh - sorry, I assumed you meant the coin owner's privacy and I wanted to point out that there's also a community privacy element to it. But you're right, technically it's still privacy related.