Project 2013: Using a Project Enterprise Type to create a schedule based on Project Server hosted template in Project Server

When using a Project Enterprise Type (from a SharePoint site) to automatically create a project schedule in a connected Project Server environment, the resulting schedule is being created with the user who saved the underlying template that the PET is linked to (on project server - enterprise) previously.

Is there a config setting (or otherwise) that can be set so the SP user who actually triggers the creation of the schedule (from SharePoint) ends up being the owner of the resulting schedule?

Thanks for reading!