The difference is the amount of light that comes out.
F11 on the Auto seems to correspond to '5' on the DX.
Setting the DX to 5 will supply the same amount of light every time you fire your strobe.
Setting the Auto to F11 will factor in ambient light and light reflected from your subject and supply the amount of light it 'thinks' you need for a digital camera set to F11 @ ISO100. This is not a set amount of light, like the '5' on the DX. Every time you take a picture this calculation is made based off of light reflected from the subject and a different amount of light is supplied.
Riki, I'm not sure how well the Sea & Sea Auto setting worked. But the Auto setting on my Inon worked great for macro.
However, I think that you will quickly become frustrated with the Auto settings once you get the hang of manual exposure mode. Nothing is more frustrating than taking several compositions at the same camera setting, with the same strobe setting, but getting different exposures.