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Antennas are Reciprocal.   


If you have MORE gain on transmit then you should also see MORE gain on Receive.


Thus the 5 element should be more noise or a higher signal received than the three element.


 As far as the three element receiving better? So many variables, coax, height above ground, grounding issues, etc etc etc.


 The Five element should have a slight advantage over the three, maybe a 3db difference in TR and RX. 1/2 an S unit on a linear calibrated receive meter at 6db per S unit.


 Three element will give you more useable band width due to the design and less elements than the five.


Signal to noise is a specification in performance of your receiver in the radio nothing to do with  an antenna.


Antenna is F/B, I E rejection per say.