Their site sure is leaning on the history of the name they bought; the front page has a big image of every single Microprose game cover ever. A little further down there are some big statistics: Games developed, 93. Games published, 201. Awards received, 53.
Then a history section that starts off with "American video game publisher and developer founded by Bill Stealey and Sid Meier in 1982."
And waaaaayyyyyyyyy down in the footer? Contact info in Australia.
Nothing about who runs it now. Nothing about their personal relationship with Microprose or the general genre of "war-themed games". Nothing about how delighted they are to be able to revive this much-loved brand and their hopes to carry it forwards to new glory.
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In their subreddit, I did find a link to a Kotaku interview with the CEO of New Microprose: https://www.kotaku.com.au/2020/05/the-australian-who-brought... - he used to run the Australian division of the folks behind ArmA, including a spin-off designed for military training, which feels like something he should be crowing about in the "who are we" section. He does claim to have been profoundly influenced by Original Microprose's games.
Kotaku asks him about the rights to Original Microprose stuff and his response is a whole lot of corporatespeak that I parse as "hahaha yeah that sure would be nice, but nope. Maybe someday if we can cut a deal with the various companies that own them, don't hold your breath though."