When selecting Task Template under Event Management, the fields shown in the Template field are different depending on the user role.
Steps to Reproduce
Log in as a user with the evt_mgmt_admin role.
Go to Event Management > Task Template, and click New.
Make sure the Incident table is selected.
Examine the drop-down options in the template.
Note that the list for evt_admin contain only part of the fields of the incident.
This is operating as designed. Incident ACLs are defined out of the box to prevent templates for all fields except a white list.
The ACL name incident.* excludes all fields from the drop-down Template field, while the other ACLs listed include each individual field into the drop-down list. You can change this ACL to fit your needs.
Related Problem: PRB1278572