I'll have to see what other (incl team) think. I personally don't like the always underlined look in the status panel. (according to your image / still have to check the patch).
Also a link implies single click, which then can happen by accident if trying to grab the window border for resizing.
Looking at other editors (they may not all have the filename in the statusbar, but they have click-able items)
- VSCode changes the mouse pointer
- Visual Studio highlight some status panels on mouse over (like speed buttons), other (clickable) panels have no indicator (caret pos => goto dlg)
- Sublime has no indicator
- Notepad++ has no indicator
- Libre office Writer has no indicator, well it shows a hint on hover
- geany - not reacting to clicks
- gedit - no indicator on mouse over, but shows a drop down symbol next to clickable panels
Personally, to me, either mouse-pointer change or highlight (slight color change of the background) on mouse over seems the least intrusive (otherwise an icon next to the text, but that may run out of space). But open minded, to see what others think.
And as indicated, actually preferring the double click. But when you get an indicator (e.g. mouse pointer, then that may not be intuitive) But again lets see.
Also, about double click, there already is an exception: While recording an editor macro, the stop button is single click.