Current Sensing on positive and negative voltage rails
Without going into too much detail, your approach violates the ESR requirements with an external sense R and also that is redundant with the internal Rs. There is a separate port to provide gain Ri for the OCP threshold with internal current sensing.

If you want to sense current on your own, use a 2~ 10 mOhm max ground sense resistor and high gain balanced Diff Amp with low ESL and a good layout to reject CM noise.

Total ESR on the load cap plus Rsense must be between 10 and 130 mOhm (?) from memory.  So your 1 Ohm will result in instability and poor load regulation.