Google absolutely cares about conversions. Customers that don't see conversions will eventually stop doing business. Iirc in the early days of google analytics one of the much touted features was the ability to connect google ad clicks to the conversion funnel.
Also Google cares about conversions because if they can get people tracking down funnel they can better optimise to get to to pay more for less impressions/clicks, and the now unused space can be sold elsewhere. When done right it's win/win.
