You are suposto MOVE those silly little GIFs from the server where you found it to YOUR OWN SERVER.
These people were nice enough to provide you with a free graphic, you are NOT suposto use all their bandwidth.

"Any images you find useful, simply save them then upload to your web server. Do Not Link Directly To Our Images and Servers..."
http://www.fg-a.com/policies.htm

I don't know about other people but I find these pretty butterflies and other silly graphics in messages annoying and space wasting.