Thank you Curran for this extremely interesting information. I read in the Wikipedia description:
The name refers to the fact that the tip of the chili pepper (唐辛子, tōgarashi) looks like the lion (獅子, shishi) head; in Japanese, it is often abbreviated as shishitō.[2]
As a consequence would it be a way to show a ShiShi dog on this kozuka in the way of a rebus?
Japanese culture brings so many topics of interests!