I believe using a trs would reduce the noise when you have the effect engaged in your DJM.
I currently have the rmx set up as send and return using normal patch leads, which are unbalanced. And whenever I have the send and return effects on my DJM , I can hear a faint buzz coming out from headphone and speakers.
Wen there is audio playing you can't really hear it but when there no audio , it sound pretty bad and the buzz will disappear when you switch off the send and return effects.