The way you have it worded, I would say "not necessarily".
That is, the drawing says to use XXX material meeting an ASTM spec and do this or that to it, and does it still meet the spec properties when you're finished?
If the spec properties are given in the annealed condition, I would expect properties after forming and annealing to be similar, but not necessarily the same.
If the spec properties are given in anything but annealed condition, I would expect more variation.