As an addendum to other answers, my perspective is that once the conflict of interest is fuzzy enough, there is a benefit to leaving it out: people don't care too much, and would rather spend their time reading something else. Academic talks also often omit details in proofs to maximize the information/time tradeoff.

As an addendum to other answers, my perspective is that once the conflict of interest is fuzzy enough, there is a benefit to leaving it out: people don't care too much, and would rather spend their time reading something else. As an analogy, academic talks also often omit details in proofs to maximize the information/time tradeoff. Those details are relevant, but not worth people's time.