I am just trying to think out the box, but what if the `new` 4 x 2 was
only screwed to the existing joists but with pre drilled holes in the
new ones that were oval or elongated and the screws just tight enough to
hold them in place then would this allow sufficient movement for any
shrinkage without ditorting the original joists. They could be fully
tightened at a later date after any shrinkage has taken place.
Dont know if it is practical but just my thinking.