Only if the vanilla analytics product without any adwords or partner scheme options (i.e. coming from google-analytics.com rather than anything coming from Goog

Only if the vanilla analytics product without any adwords or partner scheme options (i.e. coming from google-analytics.com rather than anything coming from Google.com). Plus it could disappear on a whim (as did Bing for a couple of days last month), so unless the use-case is unavoidable, why not self-host?