Android is a separate software project that is developed separately from Google Play Services. The Android OS works perfectly without those installed.
There's no "Chrome, Google Search, and the Google Play Store" in the Android repository. Especially since Android is open source, and most of the latter APKs are not.
I suggest to actually have a look at the a android project before making claims like these. This page is a good place to start: https://source.android.com/setup/