That you picked the options that came up with grand results does make your character intelligent, competent and capable indeed. I'm also going off of my personal warden, btw, where I pretty much got the most ideal outcomes in my eyes. My decisions saved many lives despite the need for sacrifice to fight the darkspawn. I settled a dispute in foreign land amongst the very stubborn and hot headed dwarves, got their assistance and lead to the growth and development of the dwarves due to my choice in who I supported for their king, I saved the lives of the mages as well as stopped the demon incursion, I saved the lives of the elves and werewolves and ended an age long curse, I saved Eamon and his son and discovered the ashes of andraste herself, defeated legendary flemeth, even if not permanently, killed several dragons, including the archdemon itself, which I did because of the fact that the warden, choice or not, was successful in his uniting of Ferelden.
There was also the landsmeet, which took a lot of detective work to make Loghain look bad, and that's after either evading a well set up ambush, or escaping prison. I sometimes let myself be captured on purpose for the fun of it.
Point is, the choices you can make and the ones I did make lead to very good results for the people of Ferelden, and even if there was no choice, the Grey Warden still gets enough support despite all odds to stop an entire blight before it starts. I don't see how this wouldn't qualify the Warden to be a general over Hawke.
Hawke strikes it rich, kills the arishok or convinces the qunari to leave (after they kill the vicount) and then basically is just there for when the shit hits the fan later on in Kirkwall. Though he at least did kill Meredith. There's a big big difference in achievements between these two however.
Even if what we did doesn't show the warden is some tactical genius or something, which I never said, it does show that they get shit done. That's all that matters.