I agree that this would be a nice feature to have now that we can create task templates! One work-around that I can think of is using Forms instead of Task Templates. To do this you would create a Form in Asana that includes all of the required information for a Bug Report and then sharing the Form link with your users. You can also create a task in the Bug Tracking Project that contains the link to the form as well.
After creating the form you need to add everyone who submits a new bug report to the project and setting their permissions to “Can Comment”. This will not allow anyone except the IT lead to create a new bug report task but it will allow them to view the project and fill out the form. At that point if someone has a bug report, they can fill out the form and then it creates a new task in the project with all of the inputs from the form. Hopefully this helps you work around your issue until it’s integrated into Asana! For more information on creating and using Forms you can check this guide
Forms • Asana
and for more information on project permissions you can use this Guide
Create project owners and manage members | Product guide • Asana
Just let me know if you have any questions about my explanation or if anything is unclear.