V2 API - disabling autoresponder for a new subscription

Using the V2 API, I know that the "action_by" query string parameter determines whether a Welcome Email is sent when a contact is added (ACTION_BY_OWNER vs. ACTION_BY_VISITOR).

However, I do not see, in the API documentation, any apparent mechanism for controlling autoresponder (as distinct from Welcome) emails when a (possibly existing) contact is added to a new list. Current behavior is that when I subscribe an existing contact to a new list using the API, the autoresponder associated with subscribing to that list is triggered. I am looking for the ability in the API PUT (or POST, if new contact) request to suppress the autoresponder email when contact is added to a new list.

Does this capability exist in the V2 API?

Thanks!