I know that it distributes the force concentrations. But what point loads? If they come from the stand in the form of a screw jutting through or warping of wood, something like that would cause me to immediately abandon the stand. I'd move every thing to another tank, empty, and work through it with the manufacturer to get it replaced. Also side note, I notice my mat under my 20G acrylic does nothing to keep water off the 3/4" plywood underneath of it. In fact it may trap moisture between it and the wood. I keep it dry but water always drips down an aquarium at some point. So that is another thing that has concerned me with mats.
There are no point loads coming from the inside the aquarium if it sits on a rigid surface. If it is on a soft surface like a mat, then rocks and heavy ornaments become point loads against the bottom surface causing it to warp ever so slightly under their weight.
A glass aquarium is a rigid fragile box, especially a rimless. It seems to make sense to put that on a mat. An acrylic tank flexes like a stiff gel (they can jiggle, depending on thickness, like a very stiff cube of jello). My bet is that for stability, it is better to put such a thing on a solid non-flexible surface.