The post editor is the correct order for the native date field – the other plugins are not, if the ordering is different for them. Sometimes developers use the post “ID” field for the ordering by date, and that may cause the difference. It is also possible, that they use different fields or there is a hook to change the ordering of the field, which does not apply to the back-end editor. It is not neccessary a mistake, sometimes it is intentional. It is almost impossible to tell without knowing the actual plugin code.
Even if you look at one of the screenshots you sent, if you check the columns, here the posts are ordered by the IDs: https://i.imgur.com/d5w9n4R.png
