What an incrementality test is actually asking
Attribution asks which touchpoints preceded a conversion. Incrementality asks a harder question: would the conversion have happened anyway? The only way to answer it is to compare people who saw the advertising against comparable people who did not, and the entire difficulty is in the word comparable.
This is why retargeting flatters itself so reliably. It reaches people who already visited your site, many of whom were going to convert regardless, and last-click attribution credits it for all of them. An incrementality test is the mechanism that separates the ones it caused from the ones it caught.
For channels where person-level tracking is impossible — cinema, out-of-home, television — a geographic experiment is the only credible causal design available. That makes the quality of the design the whole ball game.