I updated my rooted stock Nexus to 4.0.4 last week. All's good. But now I'm wondering about changing the kernel for (hopefully) better battery life. Do I have to wait for 4.0.4 compatible kernels? Will any 4.0.3 kernel work? Going from 4.0.2 to 4.0.4...what actually got updated? Did the kernel get updated in that process or just some of the stock apps? Thanks.