Matzah baker is a highly specialized job, and all of the big bakeries use only very experienced bakers. Even most private Chaburos hire professionals for that position.
The matzos are laid flat in the oven. The slightly convex shape of your matzah is a result of the intense heat in the oven causing the middle of the dough to rise. I don’t know why this doesn’t happen with machine matzos; I would guess that it has to do with the fact that hand matzos are thinner in middle, while machine matzos have uniform thickness.