[HK3-]

I can see maybe where the ash could possibly dissapate the heat like a heat sink would...

As for air induction restriction, yes. The lower amount of air intake would cause a slower combustion which would allow for a cooler draw of smoke. This would allow your taste buds not to be overwhelmed by the heat of a hot cigar.

Think of how an engine works. If your air to fuel mixture is off (computers and fuel injection dont count) your fuel will not totally burn. Then you get exhaust that still smells like gas.