That's really tiny, and not pinned into the existing slab? Seems like it would encourage the post bases to sink below the surface of the existing slab.
Absolutely. Run that by an American structural/civil engineer and I doubt anyone would stamp it. I've done enough projects with floor mounted equipment to know that this is an area outside my "good enough" zone of knowledge.
The only method I could think of is to mount the lift to some 1" thick steel plates, maybe 48x72" at a minimum, and then anchor those plates to the slab around the perimeter.