The pattern says, Fabric suggestions - Jersey fabrics, such as wool jersey, cotton jersey, cotton mix jersey, acrylic jersey.
I think it would be ok to use any knit, but the weight and fabrication will impact the drape and edge finishing of the final garment.
I have a giant fabric stash so could go several different ways with it, depending on how cosy or draped I wanted to have the finished garment.
In a boiled wool (or even a woven wool) it would be more like a coat, and sized down in a slinky/sparkly knit it could be a dressy coverup for indoors (Christmas Skype chats?). In a sweater knit I'd have to be careful of the edge finishing, but they mention that and suggest using Bias binding to finish hems if using chunky or loosely knitted jersey.
I have used ponte knit for cardigans and its quite nice but seems better in a draped style rather than a boxy style
Above is Wendy Ward's Kinder
Above is Style Arc Nina