If this is for real, the implications are huge. Seems odd that news like this would be broken on a weird page like this, and not on arxiv, for example.
Big magnets, for MRI, and for trains. Maybe flying cars :)
Run a big, refrigerated line (or just dig underground where it's cooler), and you can transmit unlimited power coast-to-coast, or even around the world. You could put some big nuclear power plants in the middle of a desert (or several deserts, to reduce the risk of a failure taking out the world's power supply), and a wind/solar grid around the world, and send that power anywhere. They are already building this kind of thing (Tres Amigas SuperStation), but it's expensive and small-scale.
Wouldn't you still hit a wall due to the maximum field in the superconductor? I'd expect the wires needed to transport gigawatts of power to be pretty large and require exotic metals to build, so much that it may not make economic sense compared to a regular, slightly lossy wire.
Not holding my breath.