Unsealed Crawl Space and Vapor Barrier
The exposed block wall and loosely laying plastic is not an effective way to protect a crawl space. It allows many ways for water vapor to get into the crawl space's air.
Wood Supports Inside Crawl Space
The wood piers in this crawl space are atypical and have a unique downside. If the health of this crawl space dips and mold growth runs rampant, then the wood supports would be subject to molding and rotting.
Sealed Vapor Barrier Inside Crawl Space
With the CleanSpace vapor barrier wrapped up the block walls and tightly held down, water vapor will have a much harder time getting into the crawl space's air. This will keep the humidity levels and risk of mold growth down.
Unwrapped Wood Piers
Because the supports in this crawl space are made of wood, the vapor barrier does not need to run up it. The CleanSpace being sealed around the base or running under the pier is enough, as the barrier would trap the water that wicks up inside the wood leading to rot.