Uh, no. If you paid someone to kill your wife, would I still hold you responsible for her death even though you didn't directly pull the trigger? Absolutely.
Did Obama pull the trigger? No. Did Hitler kill all the Jews? No
You make as much of a connection as you want in your own brain. Nobody can say what percentage they are responsible for the actions. What is certain, is they played an integral part in the outcome.
And just for the sake of showing the dishonesty in the people on this site... Who would be responsible if the members of seal team 6 all would have died in that mission? Surely not Obama since he didn't pull the trigger, right?