Never made a bookpress, but have transferrable knowledge. You didn't need a rigid piece of wood, you need a piece with a slight curve so the middle touches first and the edges after. When the nuts are tightened it will go straight but be pushing hard in the middle. In case you don't have a bent piece of wood, you can plane or even sand the subtle curve (I would guess 3mm/ 1/8" would do for an A5 book). I am itching to try this.
'Real' books seem to have some kind of linen scrim rather than tissue. I should imagine this helps with tensile strength like glass fibre tape does to GRP. Evo stick has a very pungent solvent smell, worth taking care of ventilation to avoid getting high