Ah, yes, I will allow IOQ to add to a seasonal total, if the bonus is perfectly applicable. For example, a hatchet has a bonus only to "destroy wood" which is fine for clearing space in the woods but not for any carpentry or woodworking. Similarly a knife has precision destruction, assassination, betrayal and poisoning. While precision destruction is an aspect of what you are doing in a workshop, it will not add to the workshop total. A mason chisel, on the other hand, has an effect of 'shape stone' which will count towards seasonal work.
Anything that adds to an effective craft total will add to the Verditius lab total. So using an IOQ masons chisel to shape stone would, but if you had an IOQ that added to effective dexderity it would affect the quality of craftsmanship, but would not affect a Verditius lab total.
For animal handling in general use Int- it's not just about outsmarting an animal but about figuring a more efficient way to wrangle/herd them.