The 'Navigate Up' context menu works correctly with Firefox 34.0b9 (and almost certainly with earlier beta versions).
Which context menu are you referring to - the 'Navigate Up' context menu (shown after right-clicking on the green up arrow icon in the url bar) or the normal context menu (shown after right-clicking on the page contents) ?
The 'Navigate Up' context menu should show menu items for each of the higher level URLs, as well as 'Navigate Up One Level' and 'Navigate Up to Root'. 'Navigate Up' does not change the normal context menu.
Powerful and no-nonsense. Would be great if some way to get to the needed location quickly without several reloads would be added - for example, a shortcut that would remove parts of the address without reloading with pressing Enter in the end as a confirmation.
Been using this for so long, I almost forgot it's not a built-in element. As useful as the ‘page back’ button, and an almost identical user interface, only the keyboard short cut (preferably Alt+Up) is missing. I'm still hoping it might be added some day, and when it does, I'll ‘Up’ my rating from 4 to 5!
[edited 2013-12-27] Actually, I'm asking for Alt+Up to be added to Navigate Up (not Search Site). This keyboard shortcut should do exactly the same thing as left clicking the up arrow, e.g. go from www.example.com/foo/bar/ to www.example.com/foo/ (navigate up one level).
[edited 2014-01-16] Thank you for adding the Alt+UpArrow keyboard shortcut. Perfect!
Navigate Up version 2.0 has a context menu which allows navigation to any part of the URL (higher level URL) - and also to one or two related alternative high level URLs. It also provides a quick way (double-click) to navigate to the root URL.