All parts of the system create the noise and it adds together.I have a pick up question.
When I do slow chug chug in percussive style, i get unwanted noise. I have to use noise gate to clamp down unwanted noise but problem is more I use noise gate more it sucks tone out of my guitar.
New pots can be a problem if the solder heat damaged the pot, the pot solder lugs are riveted and the rivets can come loose or become intermittent..sometimes the plastic cracks where the rivet solder lug attaches.Brand new pots are unlikely to be the problem (though it's not impossible either).
Checking the jack for solid physical contact was good advice.
Like others, I suspect the push-in-&-screw-down connector. I'd solder all ground leads to the back of the volume pot (or to the bus wire that ties all three pots together, since there isn't much free space on the pot housing) and solder the jack hot lead directly to the center lug of the volume pot.
That should take care of it.
If it doesn't, the problem is most likely with the switch or pots and the whole shebang should be exchanged IMO.
Did you fined what was causing the sound to cut out? Or still happening?Mine are CTS too. 500K