Many would go bananas at the thought, but for precision dimensioning work, the following just makes sense to me.
Do you have a flat bench to check against?
There could be twist, I often use the square and the calipers when wanting that precision,
a feel thing not any measurements taken, and is an asset to back up gut feeling.
Pulling the square off of the edge a few times I find better than always sticking it tight against the work, should you have a bench that will be dependable to use in such a fashion,
The lamp must be where you want it.
Along with sighting with a long reach angle poise lamp, at least a 7.5" shade, see if gap appears in terms of flatness of the face or edge,
Seeing where the work pivots about, has a knock when pressed corner to corner, and on wider or more precise work burnishing or even graphite marking can be used.
Always looking at the ends of the timber, especially if you use the cap iron.
It comes into play here IMO even though more difficult for myself,
the fact that one can turn the timber around and not be worried about reversing grain
makes things less faffing about.
My 2 cents
Tom