Should I paint my rafters or beams with Zinssure mold primer under pipes?

We are remodeling our Kitchen and many of the upstairs drains and water pipes go through the currently exposed ceiling. One rafter had some mold so we had them replace it. But since things are exposed, would it help to do a preventative painting of all the wood around all the pipes with anti-mold primer?

I know there is an out-gas problem but why not try to head off problems by using primer on ALL wood near water pipes while things are exposed?