That is a great idea. It's not that hard of a thing to do. Many countries have non-google version Androids because of censorship. Chinese smart phone companies have their own Android OS that doesn't use a single bit of google service. But there is a catch, they replace Google services with more intrusive and more aggressive their own version of everything. Chinese phones spys more than Google android. And Chinese government almost have full control of those smart phones.
So, I like the idea of making a non-google android. But without a way to make profit like those Chinese companies do, people won't have too much of a motivation to keep developing this thing. The best way to make a healthy open source non-google non-apple OS is to do something Raspberry Pi did. Cheap open source hardware that have millions of users. The community will take care of everything.
Cosmo Communicator, and all other smart phones that trying to be non-google are all in a bad situation. Hardware are not open source, communities are small and divided. OS has to be specifically made for every single phone, and it has to be maintained regularly. It is a labor intensive job.