One thing to keep in mind is that with multiple solution annealing cycles, you may get problems with distortion that alter the geometry to the extent that the mechanical capacity of the section is compromised. That is, while the Yield Stress and Tensile Stress (PSI) may remain the same, the Yield Strength and/or Tensile Strength (Pounds) of a section may decrease because of changes in the geometry.
A lot would depend on the cooling from solution treatment temperature, as well as the number of cycles. If you are talking of hundreds of solution treatment cycles using a oil quench, for example, things are going to change quite a bit between the first couple of cycles and the last ones. Your round bar you started with may not be round any more, so it's bending strength may change, even though the yield stress is remaining the same.
rp