The evidence is behavioral data rather than a laboratory task, which is unusual in this territory. The paper's model predicts that people will "monitor and attend to information more actively given preliminary good news but 'put their heads in the sand' by avoiding additional information given adverse prior news," and then tests it against account monitoring by Scandinavian and American investors. The finding, in the authors' summary: "In both datasets, investors monitor their portfolios more frequently in rising markets than when markets are flat or falling."
Two details in that sentence are easy to skate past and both matter. The first is flat. The effect is not only about avoiding bad news; the conclusions describe the model as predicting that individuals "may collect additional information conditional on favorable news and avoid information following neutral or bad news." Ambiguity is enough. The second is what was actually measured: logins, not decisions. The datasets record how often people looked, not what they did afterward, so the finding is about attention rather than about trading.
The reasoning behind it is not simply that people are being foolish, and the authors are careful about this. Their model treats information as having a hedonic cost, so choosing not to look can be a rational response to knowing that looking will feel bad. In their words, "whether the ostrich effect is rational depends on the accuracy of people's assessments of how potential information will make them feel. Our model is exposited assuming these assessments are accurate, so our story does not require irrationality." There is even an argument that it helps: selective exposure, they write, "may also play an evolutionary role in helping people live with risk and, thereby, obtain the potential long-term benefits of risk-taking," so in a finance context the effect "may lower, to some extent, the required market equity premium."
The cost, when there is one, is not the unopened statement. The same passage gives the qualification: the effect "can also induce costs due to delays in information acquisition in adverse environments." That is the practical content of the whole concept, and it is worth stating concretely. Nothing bad happens because a balance went unread; a portfolio does not perform differently according to whether its owner looked. What can happen is that the envelope containing the statement also contained something with a clock on it. A change to a plan's investment lineup or fee schedule, an open enrollment window, an employer's notice about a match formula, a dispute deadline running from a statement date, a rebalancing band that has been breached for months. Each of those is a decision with an expiry, and the ostrich effect is the mechanism by which the expiry passes unnoticed.
It is distinct from three neighbors it gets confused with. Panic selling is acting on a fall; the ostrich effect is declining to look at one, which is in some sense the opposite behavior. Status quo bias is a preference for leaving things as they are once you know the options; the ostrich effect operates a step earlier, at whether to find out the options. And loss aversion describes how a known loss feels relative to an equivalent gain, whereas this is about the choice not to know.
The concept reaches beyond money, and the authors say so. They write that "possible applications of the ostrich effect are much broader than finance," and that "ostrich-like behavior should be observed in any situation in which people are emotionally invested in information and have some ability to shield themselves from it," giving medical testing as their example.