Google has been doing this in search as well. Not sure where the comedy is.
On top of that they peddled their browser in all their products (gmail, youtube, maps, docs, ...), claiming better and faster experience, more features. Sometimes they had to check user agent to deliver worse experience to make that claim truthful.
Do you have a screenshot of "this"? Is it Google telling a user searching for Firefox (or another browser), specifically for that search, that they're using Chrome already?