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I think that now I have an actual answer - see http://ask.sagemath.org/question/2149/sage-55-os-mountain-lion-chrome-or-firefox-or and especially the part about Apple's versus Java's runtime stuff and going back to Apple's in the links in the second answer.

That said, Jonathan is totally right that Java on Mac is a moving target at best. See for instance this link about Chrome and Mac:

Java 7 and Chrome on Mac OS X Chrome does not support Java 7 on the Mac platform. A 64-bit browser (Safari or Firefox, for example) is required to run Java 7 on Mac OS X. 32-bit browsers such as Chrome do not support Java 7 on the Mac platform.