I don't know where you are so let me just tell you what is common in Texas. A turned down slab foundation is very common. Since frost is not a problem I usually turn down the slab edge 24". I thicken the slab the full 24" under the column, primarily for wind uplift as noted in other posts. You use your "judgment" to include weight of surrounding slab beyond the thicken column footing in your uplift resistance. Since the perimeter of the slab is turned down all the way around the building you can use an extension of it in your dead load resistance to uplift too. Again, it is a "judgment" call.
Other considerations - I always use rebar in the slab instead of WWF. I want good tension ties and I am more comfortable with rebar than with WWF. Use hairpins and lap then sufficiently with you slab rebar. This also let’s me use “judgment” to include some of the slab area in my uplift resistance. Slab construction joints are a potential problem. I never have a construction joint perpendicular to column lines, only parallel to them. Only shrinkage joints perpendicular to column lines. Shrinkage joint location is also a concern. Typically in steel framed building joints are located on column lines. I don't do that in a MTL building. I locate them 1/2 the distance between columns. Reason is that at the joint you expect the most movement. Well, at the column line I have a huge slug of concrete. That's an anchor so the slab won’t move. 1/2 the distance between columns I have a thin slab. That is the weakest point and that's where the crack will most likely occur. This seems contrary to standard practice, but if you think about it and look for the slab weak points I think you will agree. I recently detailed all the joints on a building like I explained here and the contractor thought I was some stupid engineer who didn’t know how to joint a slab. He cut it right on the column line. In my opinion he wasted his money. I somewhat hope the cracks appear where I expect them to so I can say “I told you so”. Same with the joints in the opposite direction. The turned down slab is an anchor. I always space my first transverse joint 1/2 the typical distance parallel to the exterior wall because as far as the slab is concerned it is twice as big with the perimeter turned down slab.
HTH