Opensource or not if someone says they hate so much google they do not want to touch a google device with a 10ft pole even if they didn't gave money or personal data to google to access it, I don't see how that person can accept running code from them.
Because average people are not just zealot crazies. Compromises and spectrums exist.
AOSP is still the best Linux-based environment for consumer use case from many aspects. It handles hardware better than GNU-based desktops, it is more secure, it supports things like HiDPI screens better and it has a stable API to write applications against and many people and organizations did so (you can still use Android 4 apps).
AOSP has strong Google influence but it is possible to use it without feeding data to Google.