bug#13776: 24.3.50; Some items on the mode-line don't have a suitable tooltip

[Glenn Morris]

Xue Fuqiao wrote:

> 1. When I used `C-h i' to enter Info mode, "*info* (dir) Top" appeared
> in the mode line, but "dir" does't have a suitable tooltip;
>
> 2. When I used `M-x shell' to run a subshell, the "run" in "(Shell:run)"
> (i.e. the `mode-line-process') doesn't have a suitable tooltip.

They both have factually correct tooltips.
In what way are they not suitable?
What would you replace them with?