I'm a little worried about performance for this line, since now you're executing the query for qs twice.  Once for the values_list statement and to actually get the tasks when you're iterating through them in the template.  I'm not sure if that query is potentially slow, but I'm a bit hesitant to execute it twice.

Could we just select all projects for the team, except the default one?  I don't think that it's so bad to display a project choice that has 0 tasks.