Add an option to see always the wrong normals

Whenever I'm modeling, I have to click the "Face orientation" check once in a while, and believe it or not, it ends up being time-consuming. I was wondering if you think it's possible to add an option just right to the face orientation check that says "show always," or something like that.

When you press it, all the objects should continue to have the solid view (like a normal viewport), but the faces with incorrect normal orientations show in red color.

Please consider this idea because, in my case, I would definitely use it. You click it at that start of you r modelling session and forget about it!