The “My Identifications” part is for identifications you have made for other people’s observations, not for your own observations.
At present, without editing the URL (as provided in the example) you can only see the identifications you have made as a list, you cannot view them on a map, and you cannot sort or filter them.
The point of the feature request is to be better able to track, view, and sort the identifications you have made for observations that are not your own observations.
This also affords the opportunity to see what areas someone is knowledgeable in and may assist in communication and raising more observations to research grade.