Sorry that it took me so long to get back to you on this, Nick.
I got sidetracked, after having looked it up.
Please, see the following pages:
P. 59 - 64: Every template listed states "any model under the template is hit."
P. 130: Flechette Weapons - third paragraph states, "If the template covers any part of the model's base it is a valid target..." It is my assumption and opinion that Flamethrowers would adhere to this rule, too, as would any other directly-placed template.