Should I paint the original wood siding with Zinsser BIN before putting up Tyvex and vinyl to prevent further rot and insect damage?

I feel a little silly asking this, but I have a question about replacing the vinyl siding on my house around the back porch. The original 1940s wood siding underneath is in rough shape in some areas. I was planning on putting up Tyvek before installing the new vinyl, but I’m wondering if I should paint the original wood siding with something like Zinsser BIN first to prevent further damage from rotting or insects. I’ve already cleaned it up and scraped off loose paint. Also, I believe the round holes are from carpenter bees that are no longer around. 🤔