I'm with Pete. The most functional checkering for hunting purposes (especially where it gets cold) is the least expensive, requires the least skill to execute, and is the least attractive (usually; there are exceptions); i.e. the coarsest style.
Extremely fine checkering is expensive, not very useful for keeping control of the gun, and mainly used to add "class" and still not cover up the beautiful grain of the wood.
All that said, I understand that traditional fine guns have fine checkering which requires great skill to execute and costs a pile. Without it, they look funny. It is to wood as engraving is to metal--a luxurious luxury. Nothing wrong with that, just not MY style.