I'm a big time Opera user. Never had a problem using eBay, selling or buying since I started using it years ago. Though you have to have an off-site location to upload pictures to for your auctions.
I've got cable broadband, so I just setup Apache to serve my pictures from my home computer.
I just checked it out, yup there is the message you mentioned. Never noticed it before, then again I host my own pictures. I clicked on the Learn More link. It says one of the requirements is IE, so it's probably checking to see if you use IE. If you don't, it gives you that message and says the you have to use off-site hosting for your pictures.