I think taking the approach of "help[ing] your team make informed, data-driven decisions" through generating reports is valuable here. In my opinion, it goes too far if we start continuously deploying ML code like it's a SWE project. To take an example in the case of autonomous vehicles, pushing continuous updates to perception modules without thoroughly exploring the ramifications of an update could be potentially catastrophic.
Obviously we can't predict every error by thinking hard, but datasets will never serve as a full representation of what models might experience in the real world. Continuous deployment to an ML model could affect undefined behavior in unpredictable ways.