Update to the above post - I did try editing but it didn't seem to take.
I played Lithor Cluster (1v1) as TEC Primacy to test Privateer again and Military Intelligence. Neither worked. No saving or reloading in case this messed with things, though I did alt-tab again for something or other.
I recruited exactly 500 supply in Pirate ships - in the off chance a perfect match rather than over 500 is required, but the achievement failed to unlock.
Likewise for Military Intelligence I researched all tech I could but had to research Quarnium Forging (Civilian III), its requirement of Exotic Refinery (Civilian II), and Huge Cargo Hull tech for Deep Space Trade (Tier 4 Starbase tech). I'm not sure if it's any civilian tech, or the Quarnium Forging\Exotic Refinery that glitched it but barring Titan farming, or a huge map that gives Quarnium for Surveying, this seems another impossibility. According to https://strategywiki.org/wiki/Sins_of_a_Solar_Empire_II/Resources Quarnium may be found via surveying gas giants - which require civilian tech to colonise, and desert planets - which require civilian tech to colonise if not Advent.
Obviously some people are managing to unlock these achievements - 0.4% of Global have Privateer, 0.1% have Military Intelligence - for comparison purposes only 13.3% have Ensign (play 10 hours), but given my own experiences I'm not sure how they manage.