Your Fuji doesn't have an A or S priority mode. Of course, it isn't really manual.
I had a Kodak P880 long ago and it was manual with DSLR-like controls. I could shoot in RAW, set it to A priority or go completely manual with it. Set ISO, metering, bracketing, you name, it had it. The move from that old camera to DSLR's (mirrorless too) was not for the sake of controls, but for the obvious IQ and general performance upgrade. Everything else was familiar.
And you underestimate the number of enthusiast cameras in the P&S market. There are more than two, including the successor of the camera that was mentionned before, the LX3.
Well the point is F200 was a Fuji flagship P&S like the X10. Fuji could very well give you "manual control" on the spec sheet but in real life cripple them to the point of not usable. I am not bashing Fuji really.
My point was you can't learn on a high end P&S. High end P&S are designed for people who own a SLR and want a smaller backup.
And please don't bring up LX3 blad blad blad. Without ever touching the LX3, I bet you 100 dollar the 5n still have better and more accessible control than the LX3.