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HTTP Referrer bug
This bug affects only Konachan.com
If you have your HTTP referrer modified using something like Modify Headers FF extension images will not load in full, although thumbnails and avatars load.
It isn't a bug, it's a feature (prevent direct link).
Use valid referrer or empty string.
As naikoto said this is to prevent hotlinking and bandwidth stealing.

I know there's a bug related to Opera, when coming from another site, and loading the image directly first, on the first load the image seems broken until you hit refresh. But this is not the case you are describing (and this would be a bug in Opera rather than this site)