Interestingly, I lost this game because I didn't understand the attrition counter. In particular, I didn't realize it was only showing the value of things killed in LoS of my units and completely ignored all my Emissary kills.
This caused me to drastically overestimate how much in the way of defences and army ATOSTIC had, making me far too cautious.

I would have pushed more (particularly at ~13 mins) and raided more (throughout the second half of the game) if I'd realized this.

PSA: Watching replays of your losing battles can be quite enlightening, you might not have lost for the reason you thought.

The point of Minotaurs is to slow down Moderators and give them something to shoot at while the Emissaries kill them (if supported by Emissaries that actually have vision to the Moderators the Moderators shouldn't be able to kill the Minotaur before taking more casualties than the Minotaur is worth). They're perfectly good at that task, while Ogres would let me be pushed too much (to be fair, Stingers would have served very well as a defence force).

Tanks is actually a great fac for fighting Jump, I just misjudged the situation.