The redesigned SAT is a very different test from the old SAT. The test forms of completely different tests are not equated but concorded. This is a different process. I haven’t seen any Truth-in-Testing information about what concordance process CB will use. If it is anything like the ACT-SAT concordance, then on average a person who scored x on the old SAT will score y=the concorded equivalent on the new SAT. However, as in the case of the ACT, some people will do better or worse on the new SAT than the concorded equivalent of their old SAT scores. It will depend upon whether you have more or less of the specific skill set tested by the new SAT than does the average test-taker. There is a lot of room here for data fudging.
I doubt any of this will influence CB’s recycling practices. My guess is that CB will just recycle test forms of the new SAT the same way it recycled test forms of the old SAT, especially since there are going to be even more administrations (including SAT School Day in the Spring and, starting 2017, an administration in August).