Your conclusion sounds too much like a conspiracy theory to me. My guess? I think President Obama knows virtually nothing about the military or fighting a war, so he defers to his advisors. The simplest explanation is mostly likely the correct one. His advisors (and the military no doubt) think the drone attacks are serving some sort of purpose, so they’re advising the president to continue them. President Obama simply continued and expanded Bush’s drone policy, because his administration believed it was effective.
That said, that doesn’t mean the drone attacks are in fact effective. We know they are killing some of the enemy, but this administration has created even more opportunities for Islamic terrorists elsewhere, like in Libya and Eygpt. Before they’re done, we’re likely to have a new caliphate.
What you’re saying sounds reasonable and legitimate and might very well be. But I’m afraid you’re giving Obama too much credit. There are many illustrations that have come to light that make him out to being much more sinister, malevolent, Machiavellian than anyone would ever imagine that gives credence to what I’ve postulated.