The contention is over Google licensing Android branding and its proprietary apps running on top of the AOSP and requiring them all be shipped together. The problem isn't the OS itself, it is the Play Store hegemony and the fact you cannot reasonably ship an Android phone without it - nobody would buy it. But the store is a proprietary and effectively closed app ecosystem completely under Google's control, thus the issue of monopoly exploitation.
At least, I hope. If they are seriously considering the whole OS as a trust issue that is insane. Anyone can fork or reuse the component parts below the Google app layer with the Apache 2 license. There are even projects like http://www.shashlik.io/ to run Android apps natively on other systems. The only part of the Android ecosystem that in any way really violates user freedoms (besides the proprietary POS blobs every phone manufacturer shoves into a forked Linux kernel with oodles of GPL violations) is the Google apps themselves, but you can always pull a Cyanogenmod and ship a phone without those apps installed.