It looks like all of the menus are using ‘gform_full_access’ capability, which doesn’t make sense.
Can you do the following test for me?
1. Assign the menu editor capability to the role you are trying to edit. For example, if you are trying to edit menu for role ABC, assign the menu editing capability to role ABC.
2. Login as a user whose role is ABC.
3. Try to edit menu for role ABC, now check the capabilities. Can you share a screenshot again?
Let me know if you have any questions.