I looked over at the rebirth tab, and the battle multi was lower on the right than the left, but it was green. Thought that was confusing, since it says you won't lose multi when everything is green.
After not playing for a couple weeks, I have returned to discover that this is a true idle game! It does not even require the application to be running to accumulate cash!
Cheers, HHG.
Gets kind of boring after you've unlocked all buildings (which doesn't really take long). I haven't spawned anyone since my lifespan exceeded the spawn timers on the apartments because they put out more quickly than they die.