If you get significantly high and lasting temperatures when you restrict airflow to the
feed tube, that would indicate that you are approaching the exact air/fuel ratio for efficient combustion. Letting more air through means that the system is diluted and maximum temperatures are lower, possibly giving a less efficient burn (and certainly sending more room air out the chimney).
My feeling would be that it is better to run it hot like that and pump lots of heat into the mass, then shut it down and seal it up (after the fire is completely out) to keep room air in, versus running it slow for twice as long.