Not really, there's clearly an issue with space in the tooltip so we use a shortened form there. The profile suffers from a similar space issue too, especially on narrow screens and especially as more items are added there.
As for the menu, we don't want to take up any more vertical space there because it will affect the menu by adding scrollbars and potentially make the balance and positioning of the avatar in there look odd, so really adding extra stuff there is optional and we've decided not to for Resources or Media.