My only Apple computer is my iPad and I have the opposite complaint. I've never installed a browser and don't really want to as Safari works well enough for me. However, when an app goes to open a web page, it opens a dialog asking if the page should be opened in Safari or Chrome. I'll pick Safari and check the box that remembers this setting. Then, a few weeks later, it will ask me again.
Worse still, these options are a lie — it says Safari or Chrome but the "Safari" option doesn't actually open Safari, it just loads the requested page in an embedded web view. Assholes.
Why does it keep suggesting Chrome?