The cable from the transtalk receiver to the partner acs r3.0 looks to be the same as a lan cable (cat5 cable).
It can be a regular 4 conductor line cord and/or gets wired just like any other Partner phone.
I don't know where you are seeing a LAN cable other than the jack will accept an RJ-45 plug as will all Partner equipment ports. The reason for this is simply backward compatibility with old Merlin wiring and jacks when Merlin was upgraded to Partner. They aren't RJ-45 ports at all, just the center 4 pins are actually connected. Yes they will work with LAN wiring (after all, Merlin was actually 568B) but that's overkill.
The only exception to this is the Transtalk which, in addition to Partner, is also designed to operate with legacy Merlin which actually uses an RJ-45. So the RJ-45 can be functional on the Transtalk but when used with the Partner system only the usual 4 wires (2 pair) are used just like any other phone.
I would say if your phone cuts out there may be other problems but the wiring should be easy to check. Use a regular phone line cord to connect the radio module with the processor and see how it works. You can place the radio module near the ACS. I never put them there permanently but it's OK for testing.
-Hal