Based on the photograph and the description, and like I said on the previous post on the same topic, this appears to be "mud bed" or "thick bed" installation, and is basically the Old World method that has been used for hundred if not thousands of years (in different versions). This is still very common in Spain in my experience.
It seems to work very well to level the floor and also does not directly bind the tile to the floor, so it is uncoupled, and therefore cracks and movements of the floor slab do not necessary transfer the stress into the tile assembly. Having inspected tile failures and experienced them first hand with my own property, the failure is due to long term moisture expansion of the tile which fails the mortar bond to the concrete slab in shear and tension. I do not think this is as critical with thick bed installations as described because the tile is not bonded directly to the rigid slab, the sand-cement mixture provides a slip plane for the tile. Though you could still have problems in long tile runs like hallways or large rooms if you do not have expansion joints. Also depends a lot on the tile.
But the poster said they use some type of adhesive to bond the tiles to this layer. I wonder if this is still done while the mud is still green?
Some info here:
Anyway, back to the topic at hand. If this is typically how tile is installed in your locality, then the structure should have been designed for this dead load. There is not much you can do to the weight of sand, cement and water to make it weight less, as Hokie has indicated.
It sounds like you (releky) are a field/site engineer, and as such it is not your responsibility to re-engineer the building as it is being constructed. If you go away from the tried and true methods, what if you have tile failures? Will you be held responsible?
Have you been discussing these issues with the structural engineer who designed the building?