With the battery in the position shown there is a minor folding compromise - when folding back the forks, before hooking onto the bike the steering tube must be dropped as the hinge lever is inaccessible in the fully folded position.
It fully folds with or without the battery attached.
This problem can be overcome by moving the battery (back towards the saddle) to the position as shown below to clear the problem.
The controller box is fine but requires longer M4 screws to fit the slightly larger diameter of the steerer but the plastic clamp can accommodate it and the self tapers supplied to close the lid are too long and require shorter ones.
All that said, it offers an alternative set up that doesn't require the use of a front bag, keeps all the wiring short and folds down to the original Brompton size if the battery is removed from it's base.