When saving the Environments settings from the Analysis ribbon to preserve the Global IDs prior to creating a new model and only when running the model from the Task Scheduler inside ArcGIS Pro, the Environments settings are not honored and the Global IDs are not preserved.

Workaround

1. Open the model and add set the environments.
2. Navigate to Analysis > Geoprocessing > Environments.
3. Verify the Global IDs option is checked in the tool.
4. Run the model directly from the ModelBuilder window or as a task.
5. When running the model as a task in ArcGIS Pro, verify the environments for the Global IDs are checked when opening the model from the Catalog pane.

Steps to Reproduce