I’m going to wade in here with some anecdotal information that may be helpful. First let me say that I agree with the theory behind the cautions against using commercially wired headphone extensions to extend a CT lead. I’m no expert on such matters, but as an amateur musician, have seen the amount of hum you can get using the wrong cables.
However… I have to confess that I’ve been using cheap (and I mean dirt cheap) eBay 3.5mm audio cables for some time now as primary CT leads. I have a ton of cheap ($2) HWCT-004 solid core CTs installed with anywhere from 1M to 2M leads that are cheap audio cables. They work great. Typically, about 18" of the cable is running down the inside of the electrical panel alongside all of the branch circuit wiring. If there is significant noise, I don’t see it. The accuracy of these cheap solid core CTs blows away the split core units.
So there’s theory and practice. I wouldn’t use a bunch of 3M headphone extensions to place a CT in the next room from the monitor, if nothing else, CT leads originating in a US electric panel are not supposed to be exposed. But I wouldn’t necessarily go through heroics to make an audio quality connection either. Point is, try it and see what happens in your case.
Final point. I read the article that was referenced, and it seems to say that when extending, it doesn’t matter if it’s a voltage or current type CT. That is to say it doesn’t matter if the burden resistor is in the CT or in the measurement device. I haven’t experimented with this, but taking a lesson from measurement standards like 4-20ma output , it seems to me that the current type stands a better chance of negating any resistance in the connecting cord as the CT will (as stated in the article) push the rated current against any reasonable resistance. So the burden in the device will see the rated current, regardless of the resistance of the connection leads. On the other hand, in theory, the voltage produced in the voltage type CT is subject to loss from resistance in the connection leads. The current should be low enough to make those losses negligible for short runs, but when you start talking about longer runs…