My guess is they would have considered it before they had their own browser, but now that chrome is something they've invested in, it seems like something that is not for sale.
How much of an impact is that placement? I don't really know, but I bet Google has data on it. Discovery on a case like this would be interesting.
Anyway, the point is that's something they can do, because they control so much of search. Bing putting up a banner that says hey, why don't you use Edge, pretty please doesn't have as much impact, because Bing has a smaller market share.