Why not use tile instead of mineral wool for sound proofing?
This is difficult to answer, because we can't read people's minds, but assuming it is correct that, for example, tile would cut the sound better than mineral wool, there are a lot of practical barriers:

Tile is not made for this, it would be very difficult / impossible to install. Bat insulation can just be stuffed in between studs and it stays in place while the wall is being sheathed on its own. Tile would keep falling out.

Tile would be much more expensive. For example, in my area, a roll of R11 insulation for a 2x4 wall cavity is about $10. This covers 50 sq ft, or 14.6 cu ft. The cheapest ceramic tile I can find here is $1.59 sq ft. and would be 3/8" thick. Doing the math, we would need 466 sq ft of tile to fill the 14.6 cu ft of wall cavity. Price would be $10 for the insulation, and $742 for the tile - the tile is 74 times more expensive. Even if you don't fill the cavity entirely ( don't think R11 would ), it would still be much more expensive.

Tile is also much heavier. Depending on your construction methods, you wouldn't be able to use sheetrock for the wall sheathing. This would also pose problems for upper floor walls.