Can you please share problem URL where I can see the edit form and what fields does not updated, please share steps that should help me to see the issue.
*** Please make a FULL BACKUP of your database and website.***
I would also eventually need to request temporary access (WP-Admin and FTP) to your site. Preferably to a test site where the problem has been replicated if possible in order to be of better help and check if some configurations might need to be changed.
I have set the next reply to private which means only you and I have access to it.
You can send me duplicator copy of your site and also give details on what page you added the edit form and steps that should help me to see the issue.