STR:

1. Have 1 Task Template ("TT") with tag "Potato";

2. Create a new default List ("A");

3. Create a new Task in List "A" and load the Task Template "TT" in it;

4. The tag "Potato" won't show up in the new task.

I found that, logically, the new task has the tag, because the View Filters (I used the Calendar) using the tag works with the task. Even so, the tag isn't visible. It isn't automatically inherited and created in the List, as the Tags' doc says.