Not necessarily. Think about it.
In the whole intake and exhaust cycle of a 4-cycle engine, how does adding a tuned muffler from the axle back decrease the amount of fuel used during the intake cycle? It really doesn't.
Now, that being said... A poorly designed and very restrictive exhaust system can certainly have an effect on the efficiency of an engine. In this case however, the tC already has a fairly well designed exhaust system, and adding a tuned muffler will change the sound of the exhaust, but you are not talking enough of a difference to have a significant impact on the power or fuel economy.