Did General McChrystal figuratively "fall on a grenade" in order to save the men and women under his command?

Today, while driving back from Albuquerque, New Mexico, I was listening to Jim Villanucci on the radio. Villanucci is a popular radio talk show host.  In listening, I was presented with an interesting scenario concerning this weeks events surrounding General Stanley McChrystal and the Rolling Stone article that cost McChrystal his military leadership job in Afghanistan.

What if General McChrystal had run into a "brick wall" with the Obama Administration?  Unable to change Obama's mind on the course of the war, which hasn't been going well, what if McChrystal purposely put forth the article, knowing that he would be fired, and that General Petraeus would be put in charge?  Obama would be then forced to follow Petraeus' advice, lest Obama look like he is interfering too much in military activity.  It is being reported that one of General Petraeus' first acts as commander in Afghanistan is going to be the rescinding of the Obama administration's very restrictive "rules of engagement", which currently have our fighting men and women walking on eggshells, unable to fight back if fired upon unless expressly ordered to. Many are reporting that those current rules have led to the deaths of many American soldiers in Afghanistan.

All indications are that General McChrystal is nobody's fool.  He's a smart, efficient, badass soldier who knows exactly what he is doing.  He got the position in Afghanistan for a reason, and that reason is that he was best qualified for the job.

However, in describing his meetings with President Barack Obama, in which he described the President as "uncomfortable and intimidated" by top military leaders, it would appear that General McChrystal was not impressed by Obama.  There were many other sources of friction between McChrystal and top Obama Administration officials, particularly Vice-President Joe Biden, who had his own plan for the Afghan war, one which did not garner General McChrystal's good will.

It is my belief that war should be left to the military.  President Obama and Vice-President Biden are particularly inexperienced in the handling of the military situation in Afghanistan.  The Obama Administration, thinking they know best, did not give General McChrystal neither the manpower, nor the battle plans, requested by the General.

Perhaps McChrystal, rather than allowing more soldiers to die under Obama's rules of engagement that McChrystal himself could not change, felt it would be best to "fall on his sword" in order to create a situation where another General could take charge under his own terms, which would be better for the fighting men and women on the ground.

Just a crazy thought.