I disagree, Richard. First, there is no yellow stripe in the hose at all. Second, the dark color in the hose appears to be black, not navy blue, as in the tie. (Admittedly it can sometimes be difficult to distinguish the two in photographs).

Moreover the arrangement of the colors in the hose is not the same as in the regimental tie.

The colors of his Ross Hunting tartan, however, are green, red and black, so I think it more likely that was the inspiration for the hose.