Beautiful job. Larger gap doesn't bother me one bit, looks great and certainly gives you the flexibility of doing tight radiuses. Even with a skinny 3/16" blade it can be tough.
I can't stand the "pucker factor" that comes with bandsaw cutting, but the few that I do are done that way (same as the manuf, Graco does them- steady hands at about 1:13 in their video). Like anything else, when done routinely this type of handwork becomes less stressful, I suppose.
Perhaps, given the volume I assume they do this way is faster from a production standpoint since custom code isn't needed for every stock/comb cutout? Or is the code simple and easy to modify as needed for this type of work?