I think the black sharpie method will make things worse (sorry Shiny_side_up). Because of the reflectiveness of the marker “ink” and the actual dye that they use, it tends to come out more purple and more shiny than the black surface you are working with, in this case a black satin or semi gloss finish. Matte or satin finishes are hard to repair in general, and it is hard to get a sense of the scratch from the photo. If it has no depth to it, as you say, it may be less of a scratch (which usually by definition is a cut into a surface) and perhaps a line where the otherwise satin finish has been made smoother and more shiny. Fixing satin finishes can be tricky. Add to that the fact that the mark goes through a painted/printed word, and a complete fix MAY be difficult (again, hard to tell when not looking at it in person). In my opinion, less is more as you can definitely make it look worse. It is subtle, so I would start with light rubbing with a soft cloth and some mild interior cleaner to see if it alters it at all. If not, you could try very light (with an emphasis on light) brushing with a soft bristled brush to see if it disrupts the surface enough to make it less shiny and more satin again. The question is, are the pores of the surface destroyed or have they been filled in / covered over with another material? If covered over, sometimes light brushing with a soft pencil eraser can help if you can avoid making the rest of it shiny and avoid removing the painted lettering. The softer the eraser the better. As others have said, you could replace the button. You could also show it to a professional detailer and see if they have ideas.