With water injection, is a cold air intake worth it?

[miata_rp]

On a water injected supercharged car with .4 bar(6 psi) boost operating in ambient temps greater than 30 deg C, is it worth the time and effort to fabricate a cold air intake system to pick up air outside of the engine? Or will the water injection cool the intake air anyway? the engine bay registers over 75 degrees C temperatures most of the time.

If you can pick up, say 40 deg C air instead of the mentione engine bay air of 75 deg C, will it be worth the time and effort?

Thanks in advance