Yes, their POS is interesting because it is not passive but encourages competition. So, as a token, it has some utility—anyone with a GPU for mining can purchase it and gain more options.
Now, how would that work on Hive?

• Maybe tie it to HBD, which is a stable coin?
• Maybe, in fact, it would probably have to be in layer 2?
• Maybe it could be useful as some other utility? Rent something else: CPU, software, bandwidth, what do I know?
• Maybe the same principle, but a new token?
  I'll look into it, but not too much detail, since you've done the research :)
  In any case, this requires at least an optical connection to the network, which I unfortunately do not have :(