I guess it's just how you look at them. The memories mean more than the stuff animal itself. At the end of the day, it's just a thing...but it's a thing that means so much more, especially because of the eyes.
I would probably do so, although I'm pretty sure the shipping might get expensive..
Also, yeah your right. The memories are endless.. I actually care a lot about "dead" things. Probably because of the memories. Which is why I don't trow anything away.