Of course, you can click on different fields to remove the icon and then put it back. But with these solutions you can scare away an extra million or two users.
Moreover, there are examples of other extensions , in which the Drag’n’Drop method is implemented as much as possible - both inside the extensions and outside.
I myself could give a ready-made example of a solution, but why? For any specialist, this will take exactly 2 lines of code. And there are many variants.
It’s unclear what you are asking for in this feature request. Furthermore, it is confusing why you have selected the app: tag app:all for your topic, as your screenshot appears to show the inline autofill icon that is inserted by the browser extension (a function not available in the other apps).
Please provide a more detailed description of your proposal, and its benefits as you see them. Perhaps sharing the two lines of code that you say are sufficient to implement your proposal may also shed some light onto the nature of your request.