Of course, saying it's a part of the Android/Google Experience is from the average consumer. You know that you have the Chrome browser if you so choose. Yes, you can go to the Play Store and install Firefox. Unlike on iOS where the browser alternatives are facades.
(Im a Googler, but that's not particularly relevant to this comment)
Also, you could actually uninstall IE. That only uninstalled the shell, not the libraries (as there were dependencies) but it was gone in terms of the application.
The home screen icon is one of those hooks but by far not the only one. If I hide it or never press it, that implies exactly nothing about whether or not code from the app gets executed while I use the phone.
I know ecosystems make corporations a lot of money and some people prefer them. And they can choose an iPhone or Pixel.
I'm using Android every day and never once opened Chrome (instead I'm using the Lightning browser) or used the Google app to search (I'm just searching directly in my browser). So IMHO that's definitely NOT the core experience of Android, while the Play Store is.