Pump wiring

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Hello,
I have just installed my systems 1s kit.I prefered to trigger the pump via my Autronic ecu so i can turn it on after a preset rpm/boost setting.I have wired the pumps positive and negative wires straight to the battery.The purple wire that is the positve to activate the relay is triggered by the fuel pump relay (The water inj can only work when the fuel pump is on) and the relay negative is earthed via my ecu once the desired rpm/boost is achived.
My question is, By not triggering the pump using the central wire within the 3 pin plug,would this harm the pump or any thing else ? If im not mistaken this cental wire earths the relay and turns the pump on,however i feel that i may be missing something and hurt the pump.Your reply/advice is much appreciated.Thank you.
Jake