Well the thing is, the Symbiots still take an extremely long time to spread very far, too long for it to be relevant unless you edit the stats of their units (which the Hyperion mod does, but then you'd just be playing Hyperion and not Nova), so no one but Hazat would have to care, meaning they would really have to secure a ministry or else face the possibility of being crippled. If I became fleet commander in such a scenario I would simply abandon Stigmata unless I had some kind of alliance with the Hazat.
The way I look at the random galaxy is that outside of one planet, Hawkwood is in the exact same position as Li-Halan - every planet within both empire's general sphere of influence is equal distance from each other's homeworlds except for three, Pentateuch, Daishan, Tethys, one being closer to Hawkwood and two being closer to Li'Halan. However, since Delphi has 4 gem markers vs Kish's 1, and also 4 exotica markers to Kish's 1, I felt that was about as even as random galaxy would ever get. I see 15 total planets that will no doubt be split between Hawkwood/Li-halan, peacefully or through force, so a 7.5 average, and I see 12-13 planets that Decados and Al-malik will occupy, a 6.5 average, while Hazat 8 or 9ish, but they are flanked on two sides by two other houses and the symbiots, not to mention the symbiot planets will be more of a challenge to take than others.
If people think the galaxy isn't fair I'm willing to try to find another, but this one honestly was the most balanced by a long shot after an hour of making them. Most galaxies either had at least one house either having almost no place to expand to, or having half the galaxy to expand to uncontested, and then the other 'fair' galaxies had routes to Byzantium II that required other houses to travel through other house's homeworlds, which was just too unfair a path.