Well, no. Does it go all around all 3 sides? Or is it higher in some columns than in others? Where in relation to the shower nozzle did it first appear? In relation to the door?
This is a mystery. All clues are needed.
You said you scratched a clean tile. Does that mean you used the razor as a knife. I think the suggestor meant for you to use it as a scraper.
I was going to ask if the tile seemed as smooth as the good tiles. If not, it's probably dirt. Nothing you've mentioned or that occurs naturally could damage the surface, afaik. If it is as smooth as the good tiles, it could be a different kind of "dirt" that is smooth, or maybe something is changing t he color.
Have you tried Bon Ami cleanser? I don't think you listed it. "Hasn't scratched yet." Every household should have a container of it.
Remove NOPSAM to email me. Please let me know if you have posted also.