The sizzle website claims to be "only 4KB miniature and gzipped." Most web servers serve gzipped content (transparently).
So, I think, if you minimize it, then your web server will serve it gzipped, then the transfer will be only 4K. You can probably verify this with a packet capture tool (like wirehark). I don't think there is a way to include a gzipped script in your HTML sources, this should be done at the server level.
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