Superconducting magnets are very nice as long as there is no quenching. The material used for conductors must be mechanically stable and perform consistently from one production batch to another. One reason why current high tc superconductors are not popular...
I was going to ask: Why don't we use the current high temperature superconductors, and start building grid interconnects? I guess part of the answer lies in the cost that would be incurred because of the mechanical properties of the existing superconductors.
If we simply decided to make this kind of thing a priority, we could probably manufacture suspension components at scale. (Or create small tunnel boring machines and bury them?) We wouldn't need to replace all of the lines. We'd just need enough interconnects to make transferring more power economical.
Probably if we had materials with a billionth of the resistance of silver they would work, but we haven't. And we have superconductors, luckly. :)