You first set A3-A0, on the next clock cycle you issue pulses on srclk, and about 10ns after each clock pulse the output shows up at srout. Best is to verity this with an oscilloscope.
The radout of the shift register is independent of the readout mode, so you can use with with MUXOUT as well.
In DSR4 DATASHEET Rev.0.9 Page13, there is a paragraph "If the DRS4 is configured for channel cascading or daisy chaining, it is necessary to know which the current channel is where the sampling has been stopped. This can be
determined by addressing the Write Shift Register withA3-A0 = 1101b and by applying clock pulses to the SRCLK input ...".
My question is the timing details about srclk, srout, A3-A0 in the above control and its timing relation with stop shift register (Figure 15). And can this configuration be used in the full readout mode with output MUXOUT?