On the contrary the epidemiological interpretation of the study's conclusion would be aligned with the chosen headline, for once.
"Kids with cats have double the risk of developing schizophrenia" seems to line up with the study's conclusion that "Our findings support an association between cat exposure and an increased risk of broadly defined schizophrenia-related disorders". The odds ratio is greater than 2 which translates into a doubling of the risk (eg odds) and >25 years is an excursion criteria. The lower bound CI is > 1 so it's likely to be a real association. PLE is Psychotic Like Experiences that seems to be a broader definition, which does not have a significant association. This can be due to lack of studies with said definition or imply that the effect is specific to schizophrenia-related disorders. However, the causality part is not investigated.
"Kids with cats have double the risk of developing schizophrenia" seems to line up with the study's conclusion that "Our findings support an association between cat exposure and an increased risk of broadly defined schizophrenia-related disorders". The odds ratio is greater than 2 which translates into a doubling of the risk (eg odds) and >25 years is an excursion criteria. The lower bound CI is > 1 so it's likely to be a real association. PLE is Psychotic Like Experiences that seems to be a broader definition, which does not have a significant association. This can be due to lack of studies with said definition or imply that the effect is specific to schizophrenia-related disorders. However, the causality part is not investigated.