>Another browser that doesn't seem to like the cookies
>is the new Safari browser for Mac OS X

I don't know what the problem is, but I must say, the Safari people are actively seeking reporting of bugs. There's a big bug report button, top right, and they encourage you to use it for this kind of thing.
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“Every bit of code is either naturally related to the problem at hand, or else it's an accidental side effect of the fact that you happened to solve the problem using a digital computer.” M-J D