So, does the S50 fire a pre-flash when the 'Flash Adjust' is set to 'Auto' - can you confirm that for the benefit of everyone?
I think the 'Flash Adjust' can only be set to 'Manual' in A, S and M mode, in fact I think it can only be used in 'Manual' in M mode.
If you use the camera with the 'Flash Adjust' set to 'Auto' ie it fires a pre-flash and don't have pre-flash cancellation set on the YS90DX then the YS90DX will try and fire twice at the output setting you've selected on the strobe. Depending on the output setting it may or may not be able to dump the desired setting on the second flash and underexpose your picture.
Dialing the flash exposure comp. to min. is a good idea to reduce battery usage. Using the lowest output on the camera also allows your camera to be ready for the next shot quicker. With fast strobes like the Ikelite DS-125 and the Inon Z220 this feature is very useful. For example, on the C5050, with the flash set to 'Slave', level 1 (which is similar to 'Flash Adjust' set to 'Manual', lowest level) and the DS125 you can shoot at a frame-a-second with the strobe.