odrive requires elevated privileges to install, but not to run. This is because there is something installed to %programfiles% and there are Explorer extensions installed (for icon overlays and right-click context menus) that need elevated privileges to be installed properly.
odrive is only a folder on the local hard drive instead of a virtual drive. It is really Explorer that is doing the reporting here, but I understand the request. There is a feature request for it here and it is something we plan to add in the future: Show space used / space free and total space
One day is the shortest duration of time, at the moment. As you stated you would need to sync in batched. For large bulk uploads, breaking up the data set is actually recommended. Throwing 4TB in at once for a bulk upload creates a lot of data for odrive to process at once and can be overwhelming, depending on the structure (number of files and folders).
If you have some proficiency for scripting, you can automate this, as you said.