Of course not. There surely was internal tension to justify his stepping down in the face of seemingly positive financial results, most probably due to Android's pathetic fragmentation and other failed initiatives such as Buzz.
This means that Schmidt has lost power at Google by assuming a future position of "executive director", which in the end means little more than a symbolic concession.
My hope is that Page, with his infantile management credentials, may screw up even more and finally drag Android to the lower position it deserves. Google should stick to search, web-based apps and that's all.
Almost every other development has been a blatant copy from others or a "me too" thing. Schmidt has behaved in an absolutely unethical manner at Apple and deserves to lose his fake luster.
p.s.: By the way, I got married in NC...small world, ain't it? 😉