Why this makes a difference: 1/ It makes impossible to retrace different contacts to the same person across days. 2/ it makes it impossible to build an app that does "I am near a previously infected person right now "if they don't reset their app).
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No, DP-3T does not allow this, as you missed a detail: check page 19 in the white paper which explains that after key disclosure, the phone will generate a new key, and is thus unlinkable regarding released key, while the infectious period before diagnosis is traceable of course.
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I did miss that detail! In my defense, the Google/Apple docs get right to the point and are easier to follow and the D3PT reference implementation in python does not do this. Still, in D3PT the infected persons IDs can be linked across the infection period days.
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