No, extracting lots of heat lowers firebox temperature which is a dirty fire with more unburned smoke particles and deposits. (firebrick lined fireboxes reflect heat back towards fire burning cleaner) Yours is designed to extract the heat by convection. It will only radiate forward through glass and from cast iron doors. A stove radiates in all directions. That's the difference between a stove and Insert.
Here's a pic for those not familiar with these blowers to explain why I say it will extract a massive amount of heat!
View attachment 219787
By closing the air down you're going to get a longer burn, but also lower stack temp. That's why when people try to close them down for the night they load up. To prevent the creosote when allowing less heat up, you need a good insulated chimney that will stay hot with less heat. Bottom line is the more efficient the chimney, the more efficient you can burn the stove. The chimney is what makes the stove work, and the flue damper is a
chimney control that
affects the stove. Use it to slow the draft if the draft is too much. For example, if you have an 8 X 8 chimney flue (64 square inches) and a 6 inch stove outlet (28.26 square inches) you can see you have to leave almost twice as much heat up the double size flue to keep it hot enough to work. You would not be able to close the damper much. Line that flue with an insulated liner that takes half the heat to keep hot and you have a much longer burning fire that can be dampened more.
Make sure when you close your intakes down the fire dies to a glow with little to no flame. Door gasket leaks or the ash pan fit will cause too much air to leak in and burn fast. I'm not sure what kind of seal or gasket the ash pan front with air dampers uses, but it shouldn't leak much when inserted against Insert front. (ash pan should have a screen in it at front for secondary air for coal burning, I'll explain later) To burn wood efficiently it should have air intake above fire instead of under and through it. That's the design for coal. Glass door wood burners normally have a primary air intake on sides or front, then a smaller air wash over glass. You bring it up to temp with the primary air intake and when established use the glass air wash for a lower burn overnight. You can't do that with a coal burner since LOTS of intake air must come up through the coal bed. Coal stoves also have a secondary air inlet over fire to admit oxygen to allow coal gas that escapes from coal to ignite and burn blue on top of the firebed. Oxygen is used up going through coal so more is needed above fire. Yours doesn't have a secondary control for coal, but should have a metered leak to provide oxygen over fire. It doesn't take much, but anything designed for coal needs it to prevent coal gas build up and a poof when opening door to stoke more coal on the fire. Wood doesn't care where the air comes from, so when holes are packed with ash on bottom, I believe the screen in ash pan at front is the secondary air inlet. Keep that inlet open and let ash build up over primary holes in bottom. You should be able to close both intakes and make it go out.