Your Inquisitions Emphasis: Secrets, Power, Influence, or a balance of the three?

Influence. I typically use Josephine for most WT operations, even if it requires that I wait for her to finish something else. (Even though I can use mods, I don't want to use the No Waiting mod, as that ruins immersion for me.) I use the WT to continue my Inquisitor's roleplay and use that to make decisions. I like the mechanic as a representation of the Inquisitor actually leading and making decisions, rather than just being the leader of a powerful hit squad as we go around maps and such.

That said, I think that some of the WT operations are filler and the advisors are more than capable of making those decisions without the Inquisitor's input. Having the Inquisitor make the decision for something like a morale booster for soldiers at Griffon Wing Keep just makes it seem like the advisors can't agree on anything, even something so simple as that. Get it together, people!

Although my canon Inquisitor will use all three based on which she thinks is the best action, the most common is a mix of Secrets and Influence.

I try and use whichever adviser I consider best for the job. Initially I wanted to aim for a diplomatic/influential Inquisition but came unstuck on Lavellan's personal quest through opting for Josephine instead of Leliana at one critical stage. On some other quests I opted for someone instead of Leliana because the number of missions that were awaiting her to come free was mounting, only to discover that sometimes it didn't matter and sometimes it most certainly did. So learning from bitter experience, thereafter I made sure I used the person I considered the best for the job. However, there were times when I just preferred Cullen's approach because he seemed to favour truth over diplomacy or lies and helping the common people instead of sucking up to the nobility. Then rather than leaving him doing nothing when I was using one of the others, I sent his soldiers off collecting resources but this seemed to count towards the mission count, so I ended up with a power Inquisition without meaning to.