I’m actually not certain which setting is controlling what you are seeing there. It might be different depending on which operating system you’re looking at. However, I can tell you that the settings are all generally controlled by group policy or more specifically by the policy’s corresponding registry value (when group policy is applied to a given computer, that computer then updates typically one registry value per applied policy to control the behavior specified by the policy). The location of all the policies in question is:
Computer Configuration > Administrative Templates > Windows Components > Windows Update
You could determine which registry keys/values are associated with the policies that you have in place to control the timing of updates, and then you could use BatchPatch to retrieve the corresponding registry values to determine the settings on the target computers.
However, we recommend that you use group policy (or local policy if the computers are not members of a domain) to prevent automatic updates from automatically installing updates, so there should be *no* schedule set for automatic updates. Then use BatchPatch to install the updates on-demand. This is described in more detail here:
batchpatch-integration-with-wsus-and-group-policy