In a project template where you create a task template, you can specify the task is created in a specific project and section of another project (multi-home) with Add to project.
There’s no facility, though, to specify the section in the project created from the project template though.
You might find this possibly-related workaround I offered for other cases of value:
May I move this thread to a non-private one so 600k+ others can benefit from the question and answer?