My argument was by analogy, but you've taken the analogy beyond its breaking point into another domain.
A single fact about a person at a particular place is not much more useful than knowing the placement of a single letter in a word. But if you know the placement of several letters in a word, you can guess the word - and that has a whole bunch more information [1]. Similarly, know several facts about a person's path, more information comes to light that is not evident from single facts alone, in a way that the whole is greater than the sum of the parts; place of work, school of children, likely friends, relatives, partners, potential medical issues, possible infidelity.
The issue you're getting at is a philosophical issue related to the sorites paradox on one hand, and the zero marginal cost of duplicating information on the other. The former is somewhat related to the issue at hand, but the latter definitely isn't.
[1] Semantically, not by Shannon, for the autistic nitpickers out there.
A single fact about a person at a particular place is not much more useful than knowing the placement of a single letter in a word. But if you know the placement of several letters in a word, you can guess the word - and that has a whole bunch more information [1]. Similarly, know several facts about a person's path, more information comes to light that is not evident from single facts alone, in a way that the whole is greater than the sum of the parts; place of work, school of children, likely friends, relatives, partners, potential medical issues, possible infidelity.
The issue you're getting at is a philosophical issue related to the sorites paradox on one hand, and the zero marginal cost of duplicating information on the other. The former is somewhat related to the issue at hand, but the latter definitely isn't.
[1] Semantically, not by Shannon, for the autistic nitpickers out there.