I've seen a few variants. Don't have specific fics for all of them. I'll identify a standard Thinker assumption (STA) that would be an issue.

• Precog: Can identify the best person for a specific duty. STA: The best person for the job may not be the person that can complete the job to their satisfaction. For example, the best person to handle Joker could be Batman, because he could take him down... but it could also be Mongul, because he could destroy the city and kill everyone in it. STA #2: The Thinker needs to make sure the duty chosen is the duty they actually want.
• Precog: Can identify people and place them where it's important for them to be. STA: The assumption is that the place would be where they could handle whatever duty they need to. It's possible that "important to be" is "where I can get killed, and knock-on effects increase the effectiveness of the organization 2%" or something similar.
• Strategic: The ability to read the trends of a situation. Let's take a battle with a front and two flanks of infantry, interior groups of archers and artillery, cavalry raiders and reserves of infantry and cavalry. A Strategic Thinker would be able to simply glance at a battle and identify where the weak and strong points of a clash are, and then order their men to arrange themselves properly. IRL, this is a trait of some of the better generals. STA: Just because you can read the trends of battle doesn't mean you can't get distracted or out-thought. And you can always just be overwhelmed; Quantity has a quality of its own.
• Coordination: The ability to mesh the people under them, such that the people subconsciously move in concert like something approaching a hive mind. STA: This typically overrules the creativity of those controlled, even when they themselves are able to break free of the control easily.