Safari Top Sites Icon not updating

[recentlyafish]

I have a couple of web comics saved to the top sites section of my browser (safari) and for many years the icon simply does not update. This is the only webpage I have stored that does this. Any chance your techies can figure out why this is and hopefully change it so it works?

This probably doesn't seem like a big deal but it is actually pretty useful to me:
I typically read comics once per week so when I click the top sites icon of most sites it is showing the last page that I went to, so I can click the previous page button if the page that starts loading looks similar to the icon (without reading anything and getting potential spoilers).

TIA (hopefully)

[Rawhide]

I generally just go to the full comic list page and click the first comic which is dark instead of light brown.

Hopefully you will find this a suitable workaround until the next version of the site.