If the plates on those loops (curved say at the end of a run) were not in contact with the floor except maybe at the edges, then no, they'd act more as radiators, letting heat out rather than directing it to the floor above. But, if you were to leave an air gap between the tubing and the aluminum there, it would act as a radiant barrier and reflect heat back up. To be effective, you need at least a 1/2" air gap for a radiant barrier to work. It doesn't have to be solid aluminum...foil covered craft paper would work as well as a radiant barrier made of solid material. And, you could use that all over underneath the plates (we're talking staple up, not embedded here?) to act as a secondary boost to try to keep the heat contained.
I used that foil-faced craft paper radiant barrier in my attic underneath the roof rafters, and the attic had an immediate 20-30 degree cooling effect, making the a/c more efficient.