TAOR's have little to do with objectives themselves once set. They are just the starting point.
Check under your mil and civ placement modules for the objective sizes. They can modify the behavior if you're looking at a particular objective on the map and going "why aren't they attacking this?" it could be that the objective you're looking at doesn't fit the criteria.
Also the AI can be floundering at the start of the game on the west side I've noticed. This could be because of the size of the mil and civ sectors at the start of the game on the west side closest to the east. I notice the CSAT on my map tend to kick ass all over NATO at the start, it's only hours into the game where nato starts to hold and push effectively.
I've found this to be the case every single start.
My suggestion: leave it running over night and take a look in the morning for a better idea of how they go longer term.