Short answer
HubSpot's KB: if a quote reverts to draft when publishing, it's a protective measure after a PDF generation error. One cause: e-signatures are the acceptance method but the custom template lacks the required e-signature module. Viewing errors needs Super Admin or View deals.
1. In HubSpot
The relevant screen in my demo portal.

2. Worth knowing
Test custom templates with a draft quote before rolling them out.
3. Related
Custom quote modules and templates.