I think there's no real brand confusion of significance between the two names

There is a branding issue. But its more on the side of their company asserting the name that doesnt really justify their niche.
I gave an example of the Vegeta condiment vs Vegeta anime. That is a true problem that has been even discussed in our news.
Thats not saying that we cant battle it.

the trademark claim

Thats nonsense. It really is. If anything "Hive Blockchain technolgies" is in the wrong here for misleading their investors.
But i still have to mention the example of "No Mans Sky" (a videogame) that was sued by "Sky" the media conglomerate over use of "Sky" (as if they own the sky) in their effort to get them to change the name. It failed spectacularly. Giving credence to our position that any trademark dispute over "Hive" is ridiculous.

The time spent could be much more profitably focused on external marketing, in my opinion.

haha. Come on. I comment less than you do. Things are set up for tomorrow. I need some time to speak my mind. Share some ideas i might have. :)
I might be lying there. But im not lying by much. 😄