I did get a replacement cover in the mail today, which thankfully arrived fully intact and undamaged.
It's a different print of the cover than the first one though, and actually looks better...
The previous one was a "bright red" and this one is a slightly darker red and not as overly bright. It also seems like a pro-printed cover. The original damaged one that I got almost had the feel of being an ink-jet matte printout or something.
So, all is good here.