Do I need to incorporate any metal panels in my wooden preamp chassis?

My plan right now is for wooden sides and top panel, with no metal components other than transformer covers. I would handle grounding via direct wiring to the star ground. Are there any issues with this approach that I'm not considering?
 
shield all four sides
This is a tetrahedron?
Tetrahedron350x350.jpg

Most chassis have six sides.
 
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