There is one requirement to see a part of file path as name of tab of opened editor to simply recognized the file that is opened. Sure there is a tooltip, which shows the full path of the file, but the mouse has to be used to display the tooltip. This is mainly needed, when there are opened many files with the same name.
Although there is not such functionality yet, there is Synchronize Editor with Views option that could help you. You can find it in View menu and if the item is checked, then in Project view and File view is automatically selected the file that is in the editor.
It doesn't correspond exactly to the requirement that is mentioned above, but it can help in some cases.