It doesn't affect the Deliverance Engine at all, Auxiliary government prevents planet loss through bombardment. Deliverance Engine wins with culture. Sadly, the TEC will probably get screwed over by this one still. On the other hand, it will probably kill all the pop and will lower max pop for a while. Maybe the radiation will also prevent pop growth for a while.
TEC Novalith was good because it could get rid of planets. It doesn't work like the Kostura and make a Phase Stabilizer Node or like the Deliverance that negates culture bonus of planet you shoot and makes it so you have the culture bonus on that planet (it takes a while for the culture to spread though). The TEC bonus is max pop. reduced. Not even comparable to the other two, if you ask me.
The idea is to force the enemy to respend all money on upgrades. When a tech novalith cannon destroys a home planet, all the civ, the home planet research, the logistics, etc is lost. Losing a home planet immedeiately has a huge effect on the income of a player. The tec aux gov would negate that, but historically speaking, tec vs tec = wealest, advent vs advent = weakest, vasari vs vasari = weakest, so no big surprise.
