cherrybim
While your question is valid, one still needs to differentiate between chumros/kulos and a Safeik Deorayso, which Hotzoah happens to be. Therefore, someone can be meikel on using a shabbos clock on an air conditioner, due to it being permitted by most other poskim, and still not rely on an eruv in Brooklyn, since one is ‘Niro keissur” and for the other one a person can get skila if with eidim and a warning.