Can a widget's ad unit code be placed in the header bar of a widget's settings in the dashboard?

[benlk]

Here's an example with a default text widget:

Having the ad code here would make finding ad widgets in the admin much faster by saving admins one click per widget as they're searching through the widgets.

[benlk]

tl;dr: not easily in PHP

There's no filter on the widget name shown in this admin; it would draw from the widget title setting if the widget had a title.

We could do something with Javascript.