So here’s the details for anyone else that might think it’s equally as bollocks.
I bought one of these:
https://www.amazon.co.uk/gp/product/B073XTG3Y3
Which provides us significantly less storage height:
It also has three USB ports on the back, so you can charge the controller and the battery hub at the same time (I’m assuming, not tried it yet).
Fits snugly in the case:
Allowing the hub to sit on top.
Everything now in the case.
Sorted.