Is Rayleigh Fading model suitable to show superiority of DSSS-BPSK over normal BPSK?

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Hi, I am simulating DSSS-BPSK bit error rate, and comparing it against normal BPSK.
I want to know whether Rayleigh Fading model is suitable for showing DSSS superiority in multi-path fading channel? Because I have done that, and the result shows that normal BPSK still perform betters in term of error rate in Rayleigh Fading model. Theoretically, isn't DSSS the one that should gives better error rate?
The reason I am asking this is because Rayleigh Fading models the multi-path fading by certain gain and phase change on the signal, while theory of DSSS immunity of multi-path is related to its code auto and cross-correlation properties.
I have also attached the simulation results here. I simulate those system (DSSS-BPSK and BPSK) in multi-path channel with different Ts (largest difference between delay elements).
Thank you, Dareen

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