Updates available for Snow Leopard: <
Java for Mac OS X 10.6 Update 13> Note: "On systems that have not already installed Java for Mac OS X 10.6 update 9 or later, this update will configure web browsers to
not automatically run Java applets." (Emphasis added)
For Snow Leopard, Lion and Mountain Lion: <
Java for OS X 2013-001> Note: "On systems that have not already installed Java for OS X 2012-006, this update
disables the Java SE 6 applet plug-in." (Emphasis added)
While these updates help improve Java security, Apple still disables the browser plugins. Gee, I wonder why they'd do that.
Bottom line: Don't use Java unless you know you have a specific and important need. Otherwise, blame the person you see in the mirror, not Apple, for any problems you encounter. And, as far as I'm concerned, the same advice applies to Flash. YMMV, of course. And I do use Chrome, which sandboxes Flash.
If only everyone did things like I do...