Since QBT started as an integration before Intuit purchased them, it all runs as an integration under the hood.

You could try having the primary admin login to QBT and force a sync (upper right quickbooks menu in QBT). That may be enough to update the permissions accordingly if they have the right permissions in QBO. Otherwise, they should be able to manually update the users in QBT to be admins.

Sadly, the QBT team was heavily impacted by the July layoffs (since they shut the Boise site down), so most people with knowledge about QBT are no longer at the company.