Hi,
If you look into the sevice manuals from both the 6000 and the 3300, you will see that the datalink on the AUX from the LX6000 is on pin 6 and the datalink on the VTape and CD on the 3300 is on pin 7.
So, this won't communicate at all if you don't resolder one end of the cable. Just change one end from pin 7 to pin 6.
But the chance that it will work is, I think/assume, very small. The "language" from the 3300 is an early and different version then the latter one.