I don't think Labmonkey's will fit in a birdcage.
That's one of the hawtest collections of chips I've ever seen in a similarly badass storage container. I approve, sir!But I don't store chips in birdcages.
Matsui racks are great for oversized chips but I HATE storing 39mm chips in them - they wobble around from side to side too much.
But I don't store chips in birdcages.
I just used normal racks with the oversize chips in the outside and center barrel, with regular chips in between... you only need special racks if you want a full rack of 43mm only.
Matsui have slightly larger birdcages that fit those racks.
Do you remember which eBay seller you bought those birdcages from? The Matsui cases don't fit any of my birdcages, and the base of yours is much thicker than mine.