Try and you will see for yourself...  
 
 
Good thing is that it's easier and faster to craft "termite-like" than to a perfect round inside shape.
Each didgeridoo is unique, either termite-hollowed or split-n-glued.
1st third of air column sure has a big impact, but so do all of the other aspects (length, material, smoothness, density, player...)
So it's impossible to give you a straight answer... and F. Geipel's work must sure be a lot more instructive than any of our answers regarding all the time he spent in different tests... though keep in mind that as thorough as his tests might be, he may still have a looong way to go to explain the "real reality" or "totality" of the physics involved in didgeridoo sounds.