I actually agree with most of this.
The pieces work well together colour-wise but the styles differ quite a lot. The coat is indeed short (2 inches longer would be perfect) and the sharp lines and modern cut doesn't suit the long and chunky SNS knit very well. However, the coat does in no way resemble a button down apart from the length (I blame the lightning). It's made of thick and sturdy wool and has semi structured shoulders. It'll turn up in more fit pics so you can see.