If the stand has feet at the corners, you're placing a point load on each tile, and depending upon where that load falls on each tile, what the substrate for the tile is (mud job, etc), it just sounds like it is asking for trouble. I have no practical experience with doing this, but I have done my fair share of tiling floors, and I know the lengths we go to to make sure the tiles don't crack under normal conditions.
It would be much better to have the entire bottom of the stand distribute the load across the tiles, and to shim it as needed so that it is making as much contact as possible with the floor. I do recall seeing someone take an alternative approach, and build a short heavy base that sat flat on a tile floor, and then placed the stand on top of that short base. Not sure exactly what additional benefit that bought them, but it is another approach.