Hold off. Wait a minute. Not so fast there, bunky.
Sure burning those little trim pieces will give you a fast hot fire; HOWEVER, it will not last very long. Even most neophyte fire makers realize burning a small diameter split or bunch of sticks will be consumed by the fire faster than larger diameter splits.
Especially with a masonry heater, if it is really a masonry heater (heavy heavy heavy thermal mass heater weighing tons), a quick hot fire will not heat the mass of masonry. To heat the mass of masonry in a masonry heater, one needs a HOT fire which lasts 1 - 2 hours, not 15 minutes.
So, if you plan to do some serious heating with those puny sticks, they won't last long and you'll be a slave to the process of feeding the heater.
In short, don't insult that masonry heater with those little twigs. Get some 3" - 5" dry splits, about 50 lbs worth loaded in the firebox, and now you're ready to have a FIRE.
Aye,
Marty