From your description of putting a screw into the walls, it certainly sounds as if you have lath-and-plaster. Another sign is the color of the dust: with drywall, it will be very white and uniform, whereas with lath-and-plaster, it's greyish and has darker flecks.
A lot of stud finders work by detecting the change in the dielectric constant of the wall as you move horizontally across the wall. Stud finders have a hard time with lath-and-plaster because the plaster is solid and can often be 1/2" thick, then underneath the plaster you there are only small gaps between the wood lath, so you never really get the sharp change in capacitance that they look for. On the other hand, drywall is spongy so there's less material between the stud finder and the stud that it's supposed to be sensing.
I had a deep-scan stud finder, and it wasn't that reliable, but I developed a technique that I had reasonable success with: do several scans at different heights and different starting points on the wall, noting where it said there was a stud. I also found that scanning slowly was better than faster. Eventually, I would get to an "average" location that was a pretty good guess.
I later learned (at least in my house) is that there's a stud on each interior wall right where it runs into an exterior wall. I could then mark 16", 32", etc. back from that stud and be OK.
This looks more like a cracked tile than a scratch (but it is difficult to say from the picture). Was there work done after the tiling that may have put stress on the wall? I must admit that it is unusal to see this on a wall tile. Replacing it is not rocket science and the preferred method (there is really no other way to fix this).
Best Answer
Try alkyd (oil-based) paint. Yes, paint. If the tile off white and if you have a scrap somewhere, take it to a paint store and they can sell you a match. The crack will disappear or only you will know.