And a data broker/aggregator can purchase such data from many (e.g. thousands) of apps and aggregate it, then sell it.
Thank you for the clarification!
You cannot provide a large list of unrelated applications since Apple rejects that during app review.
It does not need to be a large list though I think? You just need a small list that is very discriminative and adds enough additional entropy to uniquely identify you in combination with the other data leaked.
And this was heavily exploited by Facebook before Apple patched it