I think what James is describing is the issue where you want to assign tasks to specific users in the template, because those users will always be performing those tasks in the projects derived from that template; but by doing so, the task from the template shows up in the user’s My Tasks list which is not appropriate.
James, there is not a great solution for that. Asana’s recommended approach is to drag those tasks into the bottom “Later” section of your My Tasks view, then collapse that section so you don’t see those tasks. Not a great solution IMO but it does work.
I happen to have a solution for it in my Flowsana integration for a particular use case where you want your templates to have dynamic durations instead of calendar dates, but that’s not an overall solution for all cases.
Also, if you want to vote for a change to Asana where tasks in templates would not appear in My Tasks lists, you can vote for that here.