Bardin refers to them as iron kettle, and the italian model is also made out of iron, so that is unlikely
I also do not think that the drawing with the handle is accurate. On no other drawings does he depict a handle, and the position just seems very off. The way the soldiers are carrying the kettle clearly proves that the handle position is not correct.
It is much more likely that the handle was, as on the ww1 kettle, placed on the right or left side of the pan/cover.
We use both of these pots/kettles since quite some time now and they work really well for what they are supposed to do. Sometimes we also carry an additional iron pan (which is not inaccurate for the period either) but that is mostly due to my brother being stupid and loving a good iron pan, than functionality. You can do anything with those 2 pots/kettles that you need to do.
Which makes sense, as historically, every 8 men would have been issued with one kettle and one pot.