Pretty sure it's an animated GIF issue. Just odd that I or other admins can't duplicate it.
The reason for the strange googlehosted URLs is because we utilize Google Pagespeed Service. It combines page speed optimisation techniques with the global Google content delivery network. In plain English, it helps pages load faster. The impact is greater the farther you are from the East coast of the US.
I think I know which setting I could disable to fix it. But it appears to be more of a regional issue. I'm going to submit a ticket.