Not if you are using the Melco for NAS with a dCS network player streaming the files. That Melco panel is then only of use for configuring the Melco in an NAS role. It is only used for repertoire navigation when the Melco is used as a USB streamer. In which case the dCS network streamer is no longer required. Then the USB output of the Melco goes straight to the DAC ( in your case therefore you would no longer need a Network Bridge).
In any case were you to use the Melco as a USB streamer, whilst it will be amongst the very best of such devices, in a dCS world network connection of the player and dual AES connection of the DAC produces the optimum sound quality not USB connection . However if you do not own a dCS DAC this may not be relevant to you.
BTW I would not imagine too many people using the Melco display to navigate files these days. One would use the dedicated Melco Music HD app.
There are no electronic devices in existence that are “no noise”. The fact that everything has a signal to noise ratio/dynamic range means that there is always noise. “Low noise” is at least being honest. The important thing is whether or not the noise is perceptible.
In regard to noise and the Melco’s network connection please understand that the music is not handled by the Mosaic app. Mosaic is a control device and has no connection with the music files, only with the metadata. So there is not and there cannot be any impact upon what you are listening to. It only sends commands just like when you use the remote on your TV. The TV’s IR remote does not affect the reception of the TV programme because the TV programme itself does not flow to the TV via the remote control.