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In electronics, RF means "radio frequency". But I'm assuming that everyone means the Fosgate unit
You are correct in your assumption.

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I will put my Fosgate stock system up against any HU's internal amp. Any decent aftermarket amp will blow it away, but not some little HU amp.

now you have shown your knowledge in car audio...
I wouldn't put too much up on that bet... The alpine 9835 to which we are speaking of has a much higher power rating (If you use the 10 guage power wire) than the Rockford Fosgate 6 disk facory radio, and the "RF" has a seperate amp.
Not to mention the numerous features that it has over the "RF" unit(other than 6 disk capability).
There are just too many to list.