Hilariously, you just made the parent's point for them - you yourself said you aren't running Android but Fire OS or LineageOS. Android, the product, comes with Chrome, Google Search, and the Google Play Store. If you want Android, you have to take all of Android. If you want to run something else, go for it, but then it isn't Android.
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/
The Play Store is the one and only problem as the replacements are nowhere near close in functionality or popularity.
Fire OS and my personal phone which is running a Google-free version of LineageOS would like to have a word.
> And if we just go around clubbing everything coarsely, why does my BMW have a BMW entertainment system?
BMW doesn't have a dominant market position it could abuse. Neither does Apple or any other company that Google is commonly compared to in these discussions.
Somehow these false-equivalences seem to be most common among people trying to push the "unfair fine" narrative.
On top of that you claim that because there are other companies/products that are in breach of the law - at least according to your misreading of it - this somehow makes the word of the law less clear cut in this case. Which just doesn't make any sense.
Let me throw your own words back at you: "you are not really thinking about it [your arguments] much."