> but no one is suggesting to do the same on mobile today.

I am unsure what you you mean with this? If you are talking about choosing a different browser on mobile I will point you to the DMA Browser Choice Screen page for Android[1], it has been a thing for a while as far as I can remember.

[1]: https://www.android.com/choicescreen/dma/browser/

AFAIK it doesn't affect the System Webview, and IIRC Microsoft was in hot water not merely over the IE the app, but rather over embedded browsers.