Digital Ocean hosting, tests-passed
9,789 Api Requests in last 7 days
(1,466 crawlers, 4,891 Logged in, 3,432 Anon)
6,532 Pageviews
Not orders of magnitude like the OP, but still a 50% increase from the google figure. The proportions hold up historically - google consistently reports ~1.5x as many page views as API calls.