Some take the triggers apart, and some don't. I usually do take them apart and inlet the plate. That just makes it a little easier if the plate needs to be adjusted to the fit of curve of the wood. I think it also helps me get the trigger plate aligned like I want. After inletting the plate, I then put the large spring and its screw back in and inlet those. Then I put the triggers back in an inlet them. Finally, the small spring.
Take note that old rifles differed in how deep the builder inlet the set triggers. Some old triggers are flush with the wood, and others are set slightly below the surface. Was this a style issue, or were they mostly just concerned with making the triggers work correctly? I'm certain that they wanted the triggers to function properly, but beyond that, I don't know. Anyway, if you are trying to copy the work of a particular builder or school, you might want to pay attention to that detail on antiques.