What I mean is testing the ground connection on the volume pots. I'd probably start with the ground wire between the tone pot and the volume pot considering that both volume pots are not working. If that connection is ok then I'd be checking that the tab on each volume pot has a solid connection to the ground via the back of the pot.
Here is an isolated kit pot where I'm testing that the tab is properly connected to the back of the pot. The tab is soldered directly instead of using a wire but that doesn't matter.
Without a ground connected properly, the volume pots won't bleed off the signal to ground. This explains how a volume pots works.
https://www.stewmac.com/How-To/Onlin..._I-4000_4.html