It's semi related, because it's similar materials....those bowls are food grade polypropylene, a common packaging plastic.
From their FAQ: "Of course, the material can be damaged by cutting, or exposing it to an open flame, but under normal use it is flexible and virtually unbreakable."
So you physically can cut on them, many cutting boards are polyprop, but I would avoid it because as they say, it will damage them over time. The bowls aren't super expensive, but you will inevitably start micro slicing the plastic. Over time that will weaken them and they'll start to fail sooner than otherwise. I'd want to maximize their lifespan before disposing/recycling. The other big deal is that microbes hide in nooks and crannies, so the more cut up and the deeper the slices over time, the harder it is to clean. When you return from a trip and have used them, I would run them through the dishwasher, if you have one, though hand washing done correctly is perfectly fine.
Ideally, you replace your plastic cutting boards relatively frequently, depending on how sliced up they get.
You can also buy a high quality solid wood board and then sand it down occasionally.
US Amazon, but a set like this would make a lot of mini boards
https://www.amazon.com/Flexible-Plas.../dp/B01HN7ZGUQ
So for a mini traveling kitchen, where size & weight are concerns, I would go for an inexpensive single (or set) of the flexible cutting boards cut up into multiple miniboards. Just replace one mini board with a new one after they get worn down.
Finding a small 'bartender' size solid wood board would also be an option, but heavier, thicker, and you may not find one the right size. But theoretically you could sand it down to extend it's life and/or compost it, burn it in your next campfire, etc (as long as it's real wood).
A small tempered glass cutting board would work too, but I've never seen a tiny one....