I’m using a “smart vapor barrier”. Can I use this instead of the mesh?

Technically yes, in reality it does not work very well as the blower pushes wool through the hose with air pressure and this air pressure needs a way back out. Cutting more holes in a vapor variable membrane requires those holes to then be properly repaired. insulation mesh is cheap, it’s also faster to use it first ,then apply your smart membrane before the wall board.